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Finding the Fourth Proportional to 496,967.46, 745,570.35 and 160,039.86

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Solution

The fourth proportional to 496,967.46, 745,570.35 and 160,039.86 is: 240,098.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,967.46 : 745,570.35 = 160,039.86 : x
  2. Step 2: Convert to fraction form
    496,967.46/745,570.35 = 160,039.86/x
  3. Step 3: Cross multiply
    496,967.46x = 745,570.35 × 160,039.86
  4. Step 4: Simplify right side
    496,967.46x = 119,320,974,434.15
  5. Step 5: Solve for x
    x = 119,320,974,434.15/496,967.46
  6. Step 6: Final answer
    x = 240,098.16

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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.