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Finding the Fourth Proportional to 532,751.24, 735,219.14 and 306,397

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Solution

The fourth proportional to 532,751.24, 735,219.14 and 306,397 is: 422,840.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,751.24 : 735,219.14 = 306,397 : x
  2. Step 2: Convert to fraction form
    532,751.24/735,219.14 = 306,397/x
  3. Step 3: Cross multiply
    532,751.24x = 735,219.14 × 306,397
  4. Step 4: Simplify right side
    532,751.24x = 225,268,938,838.58
  5. Step 5: Solve for x
    x = 225,268,938,838.58/532,751.24
  6. Step 6: Final answer
    x = 422,840.76

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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.