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Finding the Fourth Proportional to 520,085.52, 717,732.23 and 293,731.02

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Solution

The fourth proportional to 520,085.52, 717,732.23 and 293,731.02 is: 405,356.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,085.52 : 717,732.23 = 293,731.02 : x
  2. Step 2: Convert to fraction form
    520,085.52/717,732.23 = 293,731.02/x
  3. Step 3: Cross multiply
    520,085.52x = 717,732.23 × 293,731.02
  4. Step 4: Simplify right side
    520,085.52x = 210,820,218,536.12
  5. Step 5: Solve for x
    x = 210,820,218,536.12/520,085.52
  6. Step 6: Final answer
    x = 405,356.83

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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.