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Finding the Fourth Proportional to 706,715.92, 975,099.24 and 477,700.24

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Solution

The fourth proportional to 706,715.92, 975,099.24 and 477,700.24 is: 659,112.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,715.92 : 975,099.24 = 477,700.24 : x
  2. Step 2: Convert to fraction form
    706,715.92/975,099.24 = 477,700.24/x
  3. Step 3: Cross multiply
    706,715.92x = 975,099.24 × 477,700.24
  4. Step 4: Simplify right side
    706,715.92x = 465,805,140,971.82
  5. Step 5: Solve for x
    x = 465,805,140,971.82/706,715.92
  6. Step 6: Final answer
    x = 659,112.28

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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.