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Finding the Fourth Proportional to 496,774.17, 745,251.98 and 230,498.01

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Solution

The fourth proportional to 496,774.17, 745,251.98 and 230,498.01 is: 345,789.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,774.17 : 745,251.98 = 230,498.01 : x
  2. Step 2: Convert to fraction form
    496,774.17/745,251.98 = 230,498.01/x
  3. Step 3: Cross multiply
    496,774.17x = 745,251.98 × 230,498.01
  4. Step 4: Simplify right side
    496,774.17x = 171,779,097,186.07
  5. Step 5: Solve for x
    x = 171,779,097,186.07/496,774.17
  6. Step 6: Final answer
    x = 345,789.11

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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.