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Finding the Fourth Proportional to 474,157.80, 710,243.10 and 221,653.80

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Solution

The fourth proportional to 474,157.80, 710,243.10 and 221,653.80 is: 332,016.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,157.80 : 710,243.10 = 221,653.80 : x
  2. Step 2: Convert to fraction form
    474,157.80/710,243.10 = 221,653.80/x
  3. Step 3: Cross multiply
    474,157.80x = 710,243.10 × 221,653.80
  4. Step 4: Simplify right side
    474,157.80x = 157,428,082,038.78
  5. Step 5: Solve for x
    x = 157,428,082,038.78/474,157.80
  6. Step 6: Final answer
    x = 332,016.22

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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.