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Finding the Fourth Proportional to 311,356.96, 429,648.24 and 175,384.96

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Solution

The fourth proportional to 311,356.96, 429,648.24 and 175,384.96 is: 242,017.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,356.96 : 429,648.24 = 175,384.96 : x
  2. Step 2: Convert to fraction form
    311,356.96/429,648.24 = 175,384.96/x
  3. Step 3: Cross multiply
    311,356.96x = 429,648.24 × 175,384.96
  4. Step 4: Simplify right side
    311,356.96x = 75,353,839,386.47
  5. Step 5: Solve for x
    x = 75,353,839,386.47/311,356.96
  6. Step 6: Final answer
    x = 242,017.52

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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.