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Finding the Fourth Proportional to 401,711.32, 602,564.36 and 102,189.34

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Solution

The fourth proportional to 401,711.32, 602,564.36 and 102,189.34 is: 153,283.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,711.32 : 602,564.36 = 102,189.34 : x
  2. Step 2: Convert to fraction form
    401,711.32/602,564.36 = 102,189.34/x
  3. Step 3: Cross multiply
    401,711.32x = 602,564.36 × 102,189.34
  4. Step 4: Simplify right side
    401,711.32x = 61,575,654,255.92
  5. Step 5: Solve for x
    x = 61,575,654,255.92/401,711.32
  6. Step 6: Final answer
    x = 153,283.34

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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.