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Finding the Fourth Proportional to 472,988.96, 652,740.03 and 269,034.65

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Solution

The fourth proportional to 472,988.96, 652,740.03 and 269,034.65 is: 371,276.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,988.96 : 652,740.03 = 269,034.65 : x
  2. Step 2: Convert to fraction form
    472,988.96/652,740.03 = 269,034.65/x
  3. Step 3: Cross multiply
    472,988.96x = 652,740.03 × 269,034.65
  4. Step 4: Simplify right side
    472,988.96x = 175,609,682,248.34
  5. Step 5: Solve for x
    x = 175,609,682,248.34/472,988.96
  6. Step 6: Final answer
    x = 371,276.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.