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Finding the Fourth Proportional to 473,244.64, 709,819.20 and 157,667.68

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Solution

The fourth proportional to 473,244.64, 709,819.20 and 157,667.68 is: 236,485.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,244.64 : 709,819.20 = 157,667.68 : x
  2. Step 2: Convert to fraction form
    473,244.64/709,819.20 = 157,667.68/x
  3. Step 3: Cross multiply
    473,244.64x = 709,819.20 × 157,667.68
  4. Step 4: Simplify right side
    473,244.64x = 111,915,546,483.46
  5. Step 5: Solve for x
    x = 111,915,546,483.46/473,244.64
  6. Step 6: Final answer
    x = 236,485.61

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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.