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Finding the Fourth Proportional to 706,673.80, 975,121.14 and 477,729.10

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Solution

The fourth proportional to 706,673.80, 975,121.14 and 477,729.10 is: 659,206.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,673.80 : 975,121.14 = 477,729.10 : x
  2. Step 2: Convert to fraction form
    706,673.80/975,121.14 = 477,729.10/x
  3. Step 3: Cross multiply
    706,673.80x = 975,121.14 × 477,729.10
  4. Step 4: Simplify right side
    706,673.80x = 465,843,744,603.17
  5. Step 5: Solve for x
    x = 465,843,744,603.17/706,673.80
  6. Step 6: Final answer
    x = 659,206.19

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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.