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Finding the Fourth Proportional to 401,564, 602,380.56 and 106,076

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Solution

The fourth proportional to 401,564, 602,380.56 and 106,076 is: 159,123.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,564 : 602,380.56 = 106,076 : x
  2. Step 2: Convert to fraction form
    401,564/602,380.56 = 106,076/x
  3. Step 3: Cross multiply
    401,564x = 602,380.56 × 106,076
  4. Step 4: Simplify right side
    401,564x = 63,898,120,282.56
  5. Step 5: Solve for x
    x = 63,898,120,282.56/401,564
  6. Step 6: Final answer
    x = 159,123.13

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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.