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Finding the Fourth Proportional to 359,235.46, 538,560.96 and 134,470

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Solution

The fourth proportional to 359,235.46, 538,560.96 and 134,470 is: 201,595.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,235.46 : 538,560.96 = 134,470 : x
  2. Step 2: Convert to fraction form
    359,235.46/538,560.96 = 134,470/x
  3. Step 3: Cross multiply
    359,235.46x = 538,560.96 × 134,470
  4. Step 4: Simplify right side
    359,235.46x = 72,420,292,291.20
  5. Step 5: Solve for x
    x = 72,420,292,291.20/359,235.46
  6. Step 6: Final answer
    x = 201,595.61

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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.