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Finding the Fourth Proportional to 539,642.58, 809,322.92 and 160,461.22

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Solution

The fourth proportional to 539,642.58, 809,322.92 and 160,461.22 is: 240,649.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,642.58 : 809,322.92 = 160,461.22 : x
  2. Step 2: Convert to fraction form
    539,642.58/809,322.92 = 160,461.22/x
  3. Step 3: Cross multiply
    539,642.58x = 809,322.92 × 160,461.22
  4. Step 4: Simplify right side
    539,642.58x = 129,864,943,117.16
  5. Step 5: Solve for x
    x = 129,864,943,117.16/539,642.58
  6. Step 6: Final answer
    x = 240,649.92

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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.