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Finding the Fourth Proportional to 474,731.40, 712,104.30 and 154,881.84

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Solution

The fourth proportional to 474,731.40, 712,104.30 and 154,881.84 is: 232,325.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,731.40 : 712,104.30 = 154,881.84 : x
  2. Step 2: Convert to fraction form
    474,731.40/712,104.30 = 154,881.84/x
  3. Step 3: Cross multiply
    474,731.40x = 712,104.30 × 154,881.84
  4. Step 4: Simplify right side
    474,731.40x = 110,292,024,255.91
  5. Step 5: Solve for x
    x = 110,292,024,255.91/474,731.40
  6. Step 6: Final answer
    x = 232,325.11

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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.