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Finding the Fourth Proportional to 539,647.48, 809,330.10 and 160,466.14

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Solution

The fourth proportional to 539,647.48, 809,330.10 and 160,466.14 is: 240,657.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,647.48 : 809,330.10 = 160,466.14 : x
  2. Step 2: Convert to fraction form
    539,647.48/809,330.10 = 160,466.14/x
  3. Step 3: Cross multiply
    539,647.48x = 809,330.10 × 160,466.14
  4. Step 4: Simplify right side
    539,647.48x = 129,870,077,132.81
  5. Step 5: Solve for x
    x = 129,870,077,132.81/539,647.48
  6. Step 6: Final answer
    x = 240,657.25

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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.