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Finding the Fourth Proportional to 459,164.60, 687,386.10 and 341,358.20

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Solution

The fourth proportional to 459,164.60, 687,386.10 and 341,358.20 is: 511,025.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,164.60 : 687,386.10 = 341,358.20 : x
  2. Step 2: Convert to fraction form
    459,164.60/687,386.10 = 341,358.20/x
  3. Step 3: Cross multiply
    459,164.60x = 687,386.10 × 341,358.20
  4. Step 4: Simplify right side
    459,164.60x = 234,644,881,801.02
  5. Step 5: Solve for x
    x = 234,644,881,801.02/459,164.60
  6. Step 6: Final answer
    x = 511,025.64

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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.