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Finding the Fourth Proportional to 535,212.18, 803,503.28 and 459,793.24

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Solution

The fourth proportional to 535,212.18, 803,503.28 and 459,793.24 is: 690,278.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,212.18 : 803,503.28 = 459,793.24 : x
  2. Step 2: Convert to fraction form
    535,212.18/803,503.28 = 459,793.24/x
  3. Step 3: Cross multiply
    535,212.18x = 803,503.28 × 459,793.24
  4. Step 4: Simplify right side
    535,212.18x = 369,445,375,602.55
  5. Step 5: Solve for x
    x = 369,445,375,602.55/535,212.18
  6. Step 6: Final answer
    x = 690,278.34

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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.