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Finding the Fourth Proportional to 524,285.38, 723,506.92 and 294,842.59

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Solution

The fourth proportional to 524,285.38, 723,506.92 and 294,842.59 is: 406,878.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,285.38 : 723,506.92 = 294,842.59 : x
  2. Step 2: Convert to fraction form
    524,285.38/723,506.92 = 294,842.59/x
  3. Step 3: Cross multiply
    524,285.38x = 723,506.92 × 294,842.59
  4. Step 4: Simplify right side
    524,285.38x = 213,320,654,175.72
  5. Step 5: Solve for x
    x = 213,320,654,175.72/524,285.38
  6. Step 6: Final answer
    x = 406,878.89

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1.5x scale

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.