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Finding the Fourth Proportional to 557,732.50, 836,449.30 and 242,114.38

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Solution

The fourth proportional to 557,732.50, 836,449.30 and 242,114.38 is: 363,106.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,732.50 : 836,449.30 = 242,114.38 : x
  2. Step 2: Convert to fraction form
    557,732.50/836,449.30 = 242,114.38/x
  3. Step 3: Cross multiply
    557,732.50x = 836,449.30 × 242,114.38
  4. Step 4: Simplify right side
    557,732.50x = 202,516,403,670.93
  5. Step 5: Solve for x
    x = 202,516,403,670.93/557,732.50
  6. Step 6: Final answer
    x = 363,106.69

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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.