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Finding the Fourth Proportional to 314,151.48, 433,523.07 and 174,445.38

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Solution

The fourth proportional to 314,151.48, 433,523.07 and 174,445.38 is: 240,731.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,151.48 : 433,523.07 = 174,445.38 : x
  2. Step 2: Convert to fraction form
    314,151.48/433,523.07 = 174,445.38/x
  3. Step 3: Cross multiply
    314,151.48x = 433,523.07 × 174,445.38
  4. Step 4: Simplify right side
    314,151.48x = 75,626,096,684.92
  5. Step 5: Solve for x
    x = 75,626,096,684.92/314,151.48
  6. Step 6: Final answer
    x = 240,731.31

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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.