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Finding the Fourth Proportional to 314,195.86, 433,598.05 and 170,963.76

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Solution

The fourth proportional to 314,195.86, 433,598.05 and 170,963.76 is: 235,934.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,195.86 : 433,598.05 = 170,963.76 : x
  2. Step 2: Convert to fraction form
    314,195.86/433,598.05 = 170,963.76/x
  3. Step 3: Cross multiply
    314,195.86x = 433,598.05 × 170,963.76
  4. Step 4: Simplify right side
    314,195.86x = 74,129,552,101.85
  5. Step 5: Solve for x
    x = 74,129,552,101.85/314,195.86
  6. Step 6: Final answer
    x = 235,934.21

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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.