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Finding the Fourth Proportional to 516,883.52, 713,194.70 and 301,982.08

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Solution

The fourth proportional to 516,883.52, 713,194.70 and 301,982.08 is: 416,674.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,883.52 : 713,194.70 = 301,982.08 : x
  2. Step 2: Convert to fraction form
    516,883.52/713,194.70 = 301,982.08/x
  3. Step 3: Cross multiply
    516,883.52x = 713,194.70 × 301,982.08
  4. Step 4: Simplify right side
    516,883.52x = 215,372,018,950.98
  5. Step 5: Solve for x
    x = 215,372,018,950.98/516,883.52
  6. Step 6: Final answer
    x = 416,674.18

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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.