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Finding the Fourth Proportional to 407,125.60, 610,688.40 and 341,807.20

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Solution

The fourth proportional to 407,125.60, 610,688.40 and 341,807.20 is: 512,710.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,125.60 : 610,688.40 = 341,807.20 : x
  2. Step 2: Convert to fraction form
    407,125.60/610,688.40 = 341,807.20/x
  3. Step 3: Cross multiply
    407,125.60x = 610,688.40 × 341,807.20
  4. Step 4: Simplify right side
    407,125.60x = 208,737,692,076.48
  5. Step 5: Solve for x
    x = 208,737,692,076.48/407,125.60
  6. Step 6: Final answer
    x = 512,710.80

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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.