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Finding the Fourth Proportional to 359,345.16, 538,805.52 and 159,570

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Solution

The fourth proportional to 359,345.16, 538,805.52 and 159,570 is: 239,260.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,345.16 : 538,805.52 = 159,570 : x
  2. Step 2: Convert to fraction form
    359,345.16/538,805.52 = 159,570/x
  3. Step 3: Cross multiply
    359,345.16x = 538,805.52 × 159,570
  4. Step 4: Simplify right side
    359,345.16x = 85,977,196,826.40
  5. Step 5: Solve for x
    x = 85,977,196,826.40/359,345.16
  6. Step 6: Final answer
    x = 239,260.76

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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.