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Finding the Fourth Proportional to 706,654.98, 975,095.52 and 477,710.28

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Solution

The fourth proportional to 706,654.98, 975,095.52 and 477,710.28 is: 659,180.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,654.98 : 975,095.52 = 477,710.28 : x
  2. Step 2: Convert to fraction form
    706,654.98/975,095.52 = 477,710.28/x
  3. Step 3: Cross multiply
    706,654.98x = 975,095.52 × 477,710.28
  4. Step 4: Simplify right side
    706,654.98x = 465,813,153,885.95
  5. Step 5: Solve for x
    x = 465,813,153,885.95/706,654.98
  6. Step 6: Final answer
    x = 659,180.46

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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.