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Finding the Fourth Proportional to 566,459.68, 781,684.32 and 311,761.84

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Solution

The fourth proportional to 566,459.68, 781,684.32 and 311,761.84 is: 430,214.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,459.68 : 781,684.32 = 311,761.84 : x
  2. Step 2: Convert to fraction form
    566,459.68/781,684.32 = 311,761.84/x
  3. Step 3: Cross multiply
    566,459.68x = 781,684.32 × 311,761.84
  4. Step 4: Simplify right side
    566,459.68x = 243,699,341,902.35
  5. Step 5: Solve for x
    x = 243,699,341,902.35/566,459.68
  6. Step 6: Final answer
    x = 430,214.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.