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Finding the Fourth Proportional to 397,405.60, 596,108.40 and 292,688.80

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Solution

The fourth proportional to 397,405.60, 596,108.40 and 292,688.80 is: 439,033.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,405.60 : 596,108.40 = 292,688.80 : x
  2. Step 2: Convert to fraction form
    397,405.60/596,108.40 = 292,688.80/x
  3. Step 3: Cross multiply
    397,405.60x = 596,108.40 × 292,688.80
  4. Step 4: Simplify right side
    397,405.60x = 174,474,252,265.92
  5. Step 5: Solve for x
    x = 174,474,252,265.92/397,405.60
  6. Step 6: Final answer
    x = 439,033.20

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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.