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Finding the Fourth Proportional to 369,484.54, 509,191.92 and 267,337.06

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Solution

The fourth proportional to 369,484.54, 509,191.92 and 267,337.06 is: 368,421.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,484.54 : 509,191.92 = 267,337.06 : x
  2. Step 2: Convert to fraction form
    369,484.54/509,191.92 = 267,337.06/x
  3. Step 3: Cross multiply
    369,484.54x = 509,191.92 × 267,337.06
  4. Step 4: Simplify right side
    369,484.54x = 136,125,869,595.58
  5. Step 5: Solve for x
    x = 136,125,869,595.58/369,484.54
  6. Step 6: Final answer
    x = 368,421.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.