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Finding the Fourth Proportional to 314,909.78, 434,553.72 and 177,109.34

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Solution

The fourth proportional to 314,909.78, 434,553.72 and 177,109.34 is: 244,398.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,909.78 : 434,553.72 = 177,109.34 : x
  2. Step 2: Convert to fraction form
    314,909.78/434,553.72 = 177,109.34/x
  3. Step 3: Cross multiply
    314,909.78x = 434,553.72 × 177,109.34
  4. Step 4: Simplify right side
    314,909.78x = 76,963,522,543.74
  5. Step 5: Solve for x
    x = 76,963,522,543.74/314,909.78
  6. Step 6: Final answer
    x = 244,398.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.