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Finding the Fourth Proportional to 565,089.69, 847,641.14 and 165,738.48

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Solution

The fourth proportional to 565,089.69, 847,641.14 and 165,738.48 is: 248,609.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,089.69 : 847,641.14 = 165,738.48 : x
  2. Step 2: Convert to fraction form
    565,089.69/847,641.14 = 165,738.48/x
  3. Step 3: Cross multiply
    565,089.69x = 847,641.14 × 165,738.48
  4. Step 4: Simplify right side
    565,089.69x = 140,486,754,169.02
  5. Step 5: Solve for x
    x = 140,486,754,169.02/565,089.69
  6. Step 6: Final answer
    x = 248,609.66

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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.