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Finding the Fourth Proportional to 365,319, 548,142.66 and 232,164.72

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Solution

The fourth proportional to 365,319, 548,142.66 and 232,164.72 is: 348,351.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,319 : 548,142.66 = 232,164.72 : x
  2. Step 2: Convert to fraction form
    365,319/548,142.66 = 232,164.72/x
  3. Step 3: Cross multiply
    365,319x = 548,142.66 × 232,164.72
  4. Step 4: Simplify right side
    365,319x = 127,259,387,178.96
  5. Step 5: Solve for x
    x = 127,259,387,178.96/365,319
  6. Step 6: Final answer
    x = 348,351.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.