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Finding the Fourth Proportional to 314,109.52, 433,470.80 and 170,869.22

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Solution

The fourth proportional to 314,109.52, 433,470.80 and 170,869.22 is: 235,799.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,109.52 : 433,470.80 = 170,869.22 : x
  2. Step 2: Convert to fraction form
    314,109.52/433,470.80 = 170,869.22/x
  3. Step 3: Cross multiply
    314,109.52x = 433,470.80 × 170,869.22
  4. Step 4: Simplify right side
    314,109.52x = 74,066,817,488.78
  5. Step 5: Solve for x
    x = 74,066,817,488.78/314,109.52
  6. Step 6: Final answer
    x = 235,799.34

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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.