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Finding the Fourth Proportional to 544,316.40, 814,941 and 410,772.24

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Solution

The fourth proportional to 544,316.40, 814,941 and 410,772.24 is: 615,001.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,316.40 : 814,941 = 410,772.24 : x
  2. Step 2: Convert to fraction form
    544,316.40/814,941 = 410,772.24/x
  3. Step 3: Cross multiply
    544,316.40x = 814,941 × 410,772.24
  4. Step 4: Simplify right side
    544,316.40x = 334,755,140,037.84
  5. Step 5: Solve for x
    x = 334,755,140,037.84/544,316.40
  6. Step 6: Final answer
    x = 615,001.02

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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.