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Finding the Fourth Proportional to 582,547.88, 803,723.82 and 474,932.90

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Solution

The fourth proportional to 582,547.88, 803,723.82 and 474,932.90 is: 655,250.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,547.88 : 803,723.82 = 474,932.90 : x
  2. Step 2: Convert to fraction form
    582,547.88/803,723.82 = 474,932.90/x
  3. Step 3: Cross multiply
    582,547.88x = 803,723.82 × 474,932.90
  4. Step 4: Simplify right side
    582,547.88x = 381,714,884,631.68
  5. Step 5: Solve for x
    x = 381,714,884,631.68/582,547.88
  6. Step 6: Final answer
    x = 655,250.66

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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.