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Finding the Fourth Proportional to 474,208.40, 711,349.86 and 158,666.42

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Solution

The fourth proportional to 474,208.40, 711,349.86 and 158,666.42 is: 238,012.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,208.40 : 711,349.86 = 158,666.42 : x
  2. Step 2: Convert to fraction form
    474,208.40/711,349.86 = 158,666.42/x
  3. Step 3: Cross multiply
    474,208.40x = 711,349.86 × 158,666.42
  4. Step 4: Simplify right side
    474,208.40x = 112,867,335,653.70
  5. Step 5: Solve for x
    x = 112,867,335,653.70/474,208.40
  6. Step 6: Final answer
    x = 238,012.10

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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.