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Finding the Fourth Proportional to 308,726.40, 463,564.80 and 168,758.40

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Solution

The fourth proportional to 308,726.40, 463,564.80 and 168,758.40 is: 253,397.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,726.40 : 463,564.80 = 168,758.40 : x
  2. Step 2: Convert to fraction form
    308,726.40/463,564.80 = 168,758.40/x
  3. Step 3: Cross multiply
    308,726.40x = 463,564.80 × 168,758.40
  4. Step 4: Simplify right side
    308,726.40x = 78,230,453,944.32
  5. Step 5: Solve for x
    x = 78,230,453,944.32/308,726.40
  6. Step 6: Final answer
    x = 253,397.36

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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.