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Finding the Fourth Proportional to 359,130.54, 538,854.51 and 188,311.47

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Solution

The fourth proportional to 359,130.54, 538,854.51 and 188,311.47 is: 282,550.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,130.54 : 538,854.51 = 188,311.47 : x
  2. Step 2: Convert to fraction form
    359,130.54/538,854.51 = 188,311.47/x
  3. Step 3: Cross multiply
    359,130.54x = 538,854.51 × 188,311.47
  4. Step 4: Simplify right side
    359,130.54x = 101,472,484,894.23
  5. Step 5: Solve for x
    x = 101,472,484,894.23/359,130.54
  6. Step 6: Final answer
    x = 282,550.42

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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.