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Finding the Fourth Proportional to 442,034.52, 610,080.78 and 260,790.77

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Solution

The fourth proportional to 442,034.52, 610,080.78 and 260,790.77 is: 359,934.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,034.52 : 610,080.78 = 260,790.77 : x
  2. Step 2: Convert to fraction form
    442,034.52/610,080.78 = 260,790.77/x
  3. Step 3: Cross multiply
    442,034.52x = 610,080.78 × 260,790.77
  4. Step 4: Simplify right side
    442,034.52x = 159,103,433,328.00
  5. Step 5: Solve for x
    x = 159,103,433,328.00/442,034.52
  6. Step 6: Final answer
    x = 359,934.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.