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Finding the Fourth Proportional to 458,688.20, 688,032.30 and 429,163.70

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Solution

The fourth proportional to 458,688.20, 688,032.30 and 429,163.70 is: 643,745.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,688.20 : 688,032.30 = 429,163.70 : x
  2. Step 2: Convert to fraction form
    458,688.20/688,032.30 = 429,163.70/x
  3. Step 3: Cross multiply
    458,688.20x = 688,032.30 × 429,163.70
  4. Step 4: Simplify right side
    458,688.20x = 295,278,487,587.51
  5. Step 5: Solve for x
    x = 295,278,487,587.51/458,688.20
  6. Step 6: Final answer
    x = 643,745.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.