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Finding the Fourth Proportional to 616,134.51, 924,306.85 and 274,701.82

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Solution

The fourth proportional to 616,134.51, 924,306.85 and 274,701.82 is: 412,099.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,134.51 : 924,306.85 = 274,701.82 : x
  2. Step 2: Convert to fraction form
    616,134.51/924,306.85 = 274,701.82/x
  3. Step 3: Cross multiply
    616,134.51x = 924,306.85 × 274,701.82
  4. Step 4: Simplify right side
    616,134.51x = 253,908,773,933.47
  5. Step 5: Solve for x
    x = 253,908,773,933.47/616,134.51
  6. Step 6: Final answer
    x = 412,099.58

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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.