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Finding the Fourth Proportional to 477,717.16, 716,460.30 and 140,666.08

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Solution

The fourth proportional to 477,717.16, 716,460.30 and 140,666.08 is: 210,965.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,717.16 : 716,460.30 = 140,666.08 : x
  2. Step 2: Convert to fraction form
    477,717.16/716,460.30 = 140,666.08/x
  3. Step 3: Cross multiply
    477,717.16x = 716,460.30 × 140,666.08
  4. Step 4: Simplify right side
    477,717.16x = 100,781,661,876.62
  5. Step 5: Solve for x
    x = 100,781,661,876.62/477,717.16
  6. Step 6: Final answer
    x = 210,965.13

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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.