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Finding the Fourth Proportional to 535,778.71, 803,109.13 and 180,670.63

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Solution

The fourth proportional to 535,778.71, 803,109.13 and 180,670.63 is: 270,817.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,778.71 : 803,109.13 = 180,670.63 : x
  2. Step 2: Convert to fraction form
    535,778.71/803,109.13 = 180,670.63/x
  3. Step 3: Cross multiply
    535,778.71x = 803,109.13 × 180,670.63
  4. Step 4: Simplify right side
    535,778.71x = 145,098,232,475.85
  5. Step 5: Solve for x
    x = 145,098,232,475.85/535,778.71
  6. Step 6: Final answer
    x = 270,817.47

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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.