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Finding the Fourth Proportional to 474,902.59, 711,223.11 and 274,801.27

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Solution

The fourth proportional to 474,902.59, 711,223.11 and 274,801.27 is: 411,547.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,902.59 : 711,223.11 = 274,801.27 : x
  2. Step 2: Convert to fraction form
    474,902.59/711,223.11 = 274,801.27/x
  3. Step 3: Cross multiply
    474,902.59x = 711,223.11 × 274,801.27
  4. Step 4: Simplify right side
    474,902.59x = 195,445,013,881.35
  5. Step 5: Solve for x
    x = 195,445,013,881.35/474,902.59
  6. Step 6: Final answer
    x = 411,547.58

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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.