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Finding the Fourth Proportional to 385,646.07, 532,062.63 and 224,466.90

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Solution

The fourth proportional to 385,646.07, 532,062.63 and 224,466.90 is: 309,689.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,646.07 : 532,062.63 = 224,466.90 : x
  2. Step 2: Convert to fraction form
    385,646.07/532,062.63 = 224,466.90/x
  3. Step 3: Cross multiply
    385,646.07x = 532,062.63 × 224,466.90
  4. Step 4: Simplify right side
    385,646.07x = 119,430,449,161.95
  5. Step 5: Solve for x
    x = 119,430,449,161.95/385,646.07
  6. Step 6: Final answer
    x = 309,689.27

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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.