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Finding the Fourth Proportional to 354,728.40, 532,092.60 and 340,731.60

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Solution

The fourth proportional to 354,728.40, 532,092.60 and 340,731.60 is: 511,097.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,728.40 : 532,092.60 = 340,731.60 : x
  2. Step 2: Convert to fraction form
    354,728.40/532,092.60 = 340,731.60/x
  3. Step 3: Cross multiply
    354,728.40x = 532,092.60 × 340,731.60
  4. Step 4: Simplify right side
    354,728.40x = 181,300,762,946.16
  5. Step 5: Solve for x
    x = 181,300,762,946.16/354,728.40
  6. Step 6: Final answer
    x = 511,097.40

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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.