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Finding the Fourth Proportional to 527,263.40, 727,695.90 and 323,278.26

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Solution

The fourth proportional to 527,263.40, 727,695.90 and 323,278.26 is: 446,168.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,263.40 : 727,695.90 = 323,278.26 : x
  2. Step 2: Convert to fraction form
    527,263.40/727,695.90 = 323,278.26/x
  3. Step 3: Cross multiply
    527,263.40x = 727,695.90 × 323,278.26
  4. Step 4: Simplify right side
    527,263.40x = 235,248,264,361.13
  5. Step 5: Solve for x
    x = 235,248,264,361.13/527,263.40
  6. Step 6: Final answer
    x = 446,168.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.