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Finding the Fourth Proportional to 328,768, 453,703.12 and 177,868.24

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Solution

The fourth proportional to 328,768, 453,703.12 and 177,868.24 is: 245,459.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,768 : 453,703.12 = 177,868.24 : x
  2. Step 2: Convert to fraction form
    328,768/453,703.12 = 177,868.24/x
  3. Step 3: Cross multiply
    328,768x = 453,703.12 × 177,868.24
  4. Step 4: Simplify right side
    328,768x = 80,699,375,436.91
  5. Step 5: Solve for x
    x = 80,699,375,436.91/328,768
  6. Step 6: Final answer
    x = 245,459.95

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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.