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Finding the Fourth Proportional to 539,430.40, 809,233.20 and 202,497.52

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Solution

The fourth proportional to 539,430.40, 809,233.20 and 202,497.52 is: 303,779.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,430.40 : 809,233.20 = 202,497.52 : x
  2. Step 2: Convert to fraction form
    539,430.40/809,233.20 = 202,497.52/x
  3. Step 3: Cross multiply
    539,430.40x = 809,233.20 × 202,497.52
  4. Step 4: Simplify right side
    539,430.40x = 163,867,716,101.66
  5. Step 5: Solve for x
    x = 163,867,716,101.66/539,430.40
  6. Step 6: Final answer
    x = 303,779.16

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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.