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Finding the Fourth Proportional to 407,871.60, 611,807.40 and 347,510.40

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Solution

The fourth proportional to 407,871.60, 611,807.40 and 347,510.40 is: 521,265.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,871.60 : 611,807.40 = 347,510.40 : x
  2. Step 2: Convert to fraction form
    407,871.60/611,807.40 = 347,510.40/x
  3. Step 3: Cross multiply
    407,871.60x = 611,807.40 × 347,510.40
  4. Step 4: Simplify right side
    407,871.60x = 212,609,434,296.96
  5. Step 5: Solve for x
    x = 212,609,434,296.96/407,871.60
  6. Step 6: Final answer
    x = 521,265.60

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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.