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Finding the Fourth Proportional to 472,404.30, 708,606.45 and 465,770.40

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Solution

The fourth proportional to 472,404.30, 708,606.45 and 465,770.40 is: 698,655.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,404.30 : 708,606.45 = 465,770.40 : x
  2. Step 2: Convert to fraction form
    472,404.30/708,606.45 = 465,770.40/x
  3. Step 3: Cross multiply
    472,404.30x = 708,606.45 × 465,770.40
  4. Step 4: Simplify right side
    472,404.30x = 330,047,909,659.08
  5. Step 5: Solve for x
    x = 330,047,909,659.08/472,404.30
  6. Step 6: Final answer
    x = 698,655.60

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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.