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Finding the Fourth Proportional to 535,646.24, 803,164.88 and 414,023.76

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Solution

The fourth proportional to 535,646.24, 803,164.88 and 414,023.76 is: 620,800.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,646.24 : 803,164.88 = 414,023.76 : x
  2. Step 2: Convert to fraction form
    535,646.24/803,164.88 = 414,023.76/x
  3. Step 3: Cross multiply
    535,646.24x = 803,164.88 × 414,023.76
  4. Step 4: Simplify right side
    535,646.24x = 332,529,343,517.55
  5. Step 5: Solve for x
    x = 332,529,343,517.55/535,646.24
  6. Step 6: Final answer
    x = 620,800.29

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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.