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Finding the Fourth Proportional to 653,713.86, 901,865.72 and 378,020.76

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Solution

The fourth proportional to 653,713.86, 901,865.72 and 378,020.76 is: 521,518.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,713.86 : 901,865.72 = 378,020.76 : x
  2. Step 2: Convert to fraction form
    653,713.86/901,865.72 = 378,020.76/x
  3. Step 3: Cross multiply
    653,713.86x = 901,865.72 × 378,020.76
  4. Step 4: Simplify right side
    653,713.86x = 340,923,964,892.35
  5. Step 5: Solve for x
    x = 340,923,964,892.35/653,713.86
  6. Step 6: Final answer
    x = 521,518.64

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.