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Finding the Fourth Proportional to 615,828.30, 924,433.65 and 476,205.90

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Solution

The fourth proportional to 615,828.30, 924,433.65 and 476,205.90 is: 714,843.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,828.30 : 924,433.65 = 476,205.90 : x
  2. Step 2: Convert to fraction form
    615,828.30/924,433.65 = 476,205.90/x
  3. Step 3: Cross multiply
    615,828.30x = 924,433.65 × 476,205.90
  4. Step 4: Simplify right side
    615,828.30x = 440,220,758,288.54
  5. Step 5: Solve for x
    x = 440,220,758,288.54/615,828.30
  6. Step 6: Final answer
    x = 714,843.34

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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.