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Finding the Fourth Proportional to 521,708.60, 782,562.90 and 486,457.40

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Solution

The fourth proportional to 521,708.60, 782,562.90 and 486,457.40 is: 729,686.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,708.60 : 782,562.90 = 486,457.40 : x
  2. Step 2: Convert to fraction form
    521,708.60/782,562.90 = 486,457.40/x
  3. Step 3: Cross multiply
    521,708.60x = 782,562.90 × 486,457.40
  4. Step 4: Simplify right side
    521,708.60x = 380,683,513,670.46
  5. Step 5: Solve for x
    x = 380,683,513,670.46/521,708.60
  6. Step 6: Final answer
    x = 729,686.10

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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.