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Finding the Fourth Proportional to 466,604.76, 700,750.24 and 429,095.64

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Solution

The fourth proportional to 466,604.76, 700,750.24 and 429,095.64 is: 644,418.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,604.76 : 700,750.24 = 429,095.64 : x
  2. Step 2: Convert to fraction form
    466,604.76/700,750.24 = 429,095.64/x
  3. Step 3: Cross multiply
    466,604.76x = 700,750.24 × 429,095.64
  4. Step 4: Simplify right side
    466,604.76x = 300,688,872,712.95
  5. Step 5: Solve for x
    x = 300,688,872,712.95/466,604.76
  6. Step 6: Final answer
    x = 644,418.79

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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.