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Finding the Fourth Proportional to 407,149.60, 610,724.40 and 341,831.20

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Solution

The fourth proportional to 407,149.60, 610,724.40 and 341,831.20 is: 512,746.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,149.60 : 610,724.40 = 341,831.20 : x
  2. Step 2: Convert to fraction form
    407,149.60/610,724.40 = 341,831.20/x
  3. Step 3: Cross multiply
    407,149.60x = 610,724.40 × 341,831.20
  4. Step 4: Simplify right side
    407,149.60x = 208,764,654,521.28
  5. Step 5: Solve for x
    x = 208,764,654,521.28/407,149.60
  6. Step 6: Final answer
    x = 512,746.80

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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.