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Finding the Fourth Proportional to 498,064.08, 747,604.62 and 364,547.76

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Solution

The fourth proportional to 498,064.08, 747,604.62 and 364,547.76 is: 547,193.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,064.08 : 747,604.62 = 364,547.76 : x
  2. Step 2: Convert to fraction form
    498,064.08/747,604.62 = 364,547.76/x
  3. Step 3: Cross multiply
    498,064.08x = 747,604.62 × 364,547.76
  4. Step 4: Simplify right side
    498,064.08x = 272,537,589,586.65
  5. Step 5: Solve for x
    x = 272,537,589,586.65/498,064.08
  6. Step 6: Final answer
    x = 547,193.83

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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.