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Finding the Fourth Proportional to 229,453.68, 316,470.60 and 201,110.16

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Solution

The fourth proportional to 229,453.68, 316,470.60 and 201,110.16 is: 277,378.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,453.68 : 316,470.60 = 201,110.16 : x
  2. Step 2: Convert to fraction form
    229,453.68/316,470.60 = 201,110.16/x
  3. Step 3: Cross multiply
    229,453.68x = 316,470.60 × 201,110.16
  4. Step 4: Simplify right side
    229,453.68x = 63,645,453,001.30
  5. Step 5: Solve for x
    x = 63,645,453,001.30/229,453.68
  6. Step 6: Final answer
    x = 277,378.22

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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.