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Finding the Fourth Proportional to 310,903.10, 466,354.65 and 100,562.30

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Solution

The fourth proportional to 310,903.10, 466,354.65 and 100,562.30 is: 150,843.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,903.10 : 466,354.65 = 100,562.30 : x
  2. Step 2: Convert to fraction form
    310,903.10/466,354.65 = 100,562.30/x
  3. Step 3: Cross multiply
    310,903.10x = 466,354.65 × 100,562.30
  4. Step 4: Simplify right side
    310,903.10x = 46,897,696,219.70
  5. Step 5: Solve for x
    x = 46,897,696,219.70/310,903.10
  6. Step 6: Final answer
    x = 150,843.45

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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.