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Finding the Fourth Proportional to 414,315.16, 571,754.10 and 233,024.20

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Solution

The fourth proportional to 414,315.16, 571,754.10 and 233,024.20 is: 321,572.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,315.16 : 571,754.10 = 233,024.20 : x
  2. Step 2: Convert to fraction form
    414,315.16/571,754.10 = 233,024.20/x
  3. Step 3: Cross multiply
    414,315.16x = 571,754.10 × 233,024.20
  4. Step 4: Simplify right side
    414,315.16x = 133,232,541,749.22
  5. Step 5: Solve for x
    x = 133,232,541,749.22/414,315.16
  6. Step 6: Final answer
    x = 321,572.93

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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.