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Finding the Fourth Proportional to 407,712.60, 611,568.90 and 390,435.30

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Solution

The fourth proportional to 407,712.60, 611,568.90 and 390,435.30 is: 585,652.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,712.60 : 611,568.90 = 390,435.30 : x
  2. Step 2: Convert to fraction form
    407,712.60/611,568.90 = 390,435.30/x
  3. Step 3: Cross multiply
    407,712.60x = 611,568.90 × 390,435.30
  4. Step 4: Simplify right side
    407,712.60x = 238,778,086,942.17
  5. Step 5: Solve for x
    x = 238,778,086,942.17/407,712.60
  6. Step 6: Final answer
    x = 585,652.95

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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.