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Finding the Fourth Proportional to 412,053.92, 568,607.34 and 230,724.28

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Solution

The fourth proportional to 412,053.92, 568,607.34 and 230,724.28 is: 318,384.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,053.92 : 568,607.34 = 230,724.28 : x
  2. Step 2: Convert to fraction form
    412,053.92/568,607.34 = 230,724.28/x
  3. Step 3: Cross multiply
    412,053.92x = 568,607.34 × 230,724.28
  4. Step 4: Simplify right side
    412,053.92x = 131,191,520,700.19
  5. Step 5: Solve for x
    x = 131,191,520,700.19/412,053.92
  6. Step 6: Final answer
    x = 318,384.35

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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.