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Finding the Fourth Proportional to 474,302.30, 711,453.45 and 194,020.70

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Solution

The fourth proportional to 474,302.30, 711,453.45 and 194,020.70 is: 291,031.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,302.30 : 711,453.45 = 194,020.70 : x
  2. Step 2: Convert to fraction form
    474,302.30/711,453.45 = 194,020.70/x
  3. Step 3: Cross multiply
    474,302.30x = 711,453.45 × 194,020.70
  4. Step 4: Simplify right side
    474,302.30x = 138,036,696,386.42
  5. Step 5: Solve for x
    x = 138,036,696,386.42/474,302.30
  6. Step 6: Final answer
    x = 291,031.05

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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.