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Finding the Fourth Proportional to 474,282.40, 711,461.04 and 158,740.48

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Solution

The fourth proportional to 474,282.40, 711,461.04 and 158,740.48 is: 238,123.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,282.40 : 711,461.04 = 158,740.48 : x
  2. Step 2: Convert to fraction form
    474,282.40/711,461.04 = 158,740.48/x
  3. Step 3: Cross multiply
    474,282.40x = 711,461.04 × 158,740.48
  4. Step 4: Simplify right side
    474,282.40x = 112,937,666,990.90
  5. Step 5: Solve for x
    x = 112,937,666,990.90/474,282.40
  6. Step 6: Final answer
    x = 238,123.25

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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.