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Finding the Fourth Proportional to 516,442.74, 774,602.46 and 137,391.30

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Solution

The fourth proportional to 516,442.74, 774,602.46 and 137,391.30 is: 206,070.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,442.74 : 774,602.46 = 137,391.30 : x
  2. Step 2: Convert to fraction form
    516,442.74/774,602.46 = 137,391.30/x
  3. Step 3: Cross multiply
    516,442.74x = 774,602.46 × 137,391.30
  4. Step 4: Simplify right side
    516,442.74x = 106,423,638,962.60
  5. Step 5: Solve for x
    x = 106,423,638,962.60/516,442.74
  6. Step 6: Final answer
    x = 206,070.55

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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.