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Finding the Fourth Proportional to 474,728.40, 712,099.80 and 154,878.84

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Solution

The fourth proportional to 474,728.40, 712,099.80 and 154,878.84 is: 232,320.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,728.40 : 712,099.80 = 154,878.84 : x
  2. Step 2: Convert to fraction form
    474,728.40/712,099.80 = 154,878.84/x
  3. Step 3: Cross multiply
    474,728.40x = 712,099.80 × 154,878.84
  4. Step 4: Simplify right side
    474,728.40x = 110,289,190,988.23
  5. Step 5: Solve for x
    x = 110,289,190,988.23/474,728.40
  6. Step 6: Final answer
    x = 232,320.61

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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.