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Finding the Fourth Proportional to 539,723.20, 808,288.80 and 289,854.40

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Solution

The fourth proportional to 539,723.20, 808,288.80 and 289,854.40 is: 434,085.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,723.20 : 808,288.80 = 289,854.40 : x
  2. Step 2: Convert to fraction form
    539,723.20/808,288.80 = 289,854.40/x
  3. Step 3: Cross multiply
    539,723.20x = 808,288.80 × 289,854.40
  4. Step 4: Simplify right side
    539,723.20x = 234,286,065,150.72
  5. Step 5: Solve for x
    x = 234,286,065,150.72/539,723.20
  6. Step 6: Final answer
    x = 434,085.59

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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.