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Finding the Fourth Proportional to 359,830.38, 538,573.76 and 265,023.23

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Solution

The fourth proportional to 359,830.38, 538,573.76 and 265,023.23 is: 396,671.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,830.38 : 538,573.76 = 265,023.23 : x
  2. Step 2: Convert to fraction form
    359,830.38/538,573.76 = 265,023.23/x
  3. Step 3: Cross multiply
    359,830.38x = 538,573.76 × 265,023.23
  4. Step 4: Simplify right side
    359,830.38x = 142,734,554,444.30
  5. Step 5: Solve for x
    x = 142,734,554,444.30/359,830.38
  6. Step 6: Final answer
    x = 396,671.77

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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.