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Finding the Fourth Proportional to 359,273.16, 538,409.10 and 181,572.84

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Solution

The fourth proportional to 359,273.16, 538,409.10 and 181,572.84 is: 272,106.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,273.16 : 538,409.10 = 181,572.84 : x
  2. Step 2: Convert to fraction form
    359,273.16/538,409.10 = 181,572.84/x
  3. Step 3: Cross multiply
    359,273.16x = 538,409.10 × 181,572.84
  4. Step 4: Simplify right side
    359,273.16x = 97,760,469,368.84
  5. Step 5: Solve for x
    x = 97,760,469,368.84/359,273.16
  6. Step 6: Final answer
    x = 272,106.24

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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.