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Finding the Fourth Proportional to 497,143.08, 745,609.86 and 160,213.86

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Solution

The fourth proportional to 497,143.08, 745,609.86 and 160,213.86 is: 240,287.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,143.08 : 745,609.86 = 160,213.86 : x
  2. Step 2: Convert to fraction form
    497,143.08/745,609.86 = 160,213.86/x
  3. Step 3: Cross multiply
    497,143.08x = 745,609.86 × 160,213.86
  4. Step 4: Simplify right side
    497,143.08x = 119,457,033,724.66
  5. Step 5: Solve for x
    x = 119,457,033,724.66/497,143.08
  6. Step 6: Final answer
    x = 240,287.03

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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.