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Finding the Fourth Proportional to 524,074.67, 723,248.68 and 294,704.14

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Solution

The fourth proportional to 524,074.67, 723,248.68 and 294,704.14 is: 406,706.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,074.67 : 723,248.68 = 294,704.14 : x
  2. Step 2: Convert to fraction form
    524,074.67/723,248.68 = 294,704.14/x
  3. Step 3: Cross multiply
    524,074.67x = 723,248.68 × 294,704.14
  4. Step 4: Simplify right side
    524,074.67x = 213,144,376,963.89
  5. Step 5: Solve for x
    x = 213,144,376,963.89/524,074.67
  6. Step 6: Final answer
    x = 406,706.12

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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.