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Finding the Fourth Proportional to 414,851.55, 572,505.98 and 233,570.15

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Solution

The fourth proportional to 414,851.55, 572,505.98 and 233,570.15 is: 322,332.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,851.55 : 572,505.98 = 233,570.15 : x
  2. Step 2: Convert to fraction form
    414,851.55/572,505.98 = 233,570.15/x
  3. Step 3: Cross multiply
    414,851.55x = 572,505.98 × 233,570.15
  4. Step 4: Simplify right side
    414,851.55x = 133,720,303,594.12
  5. Step 5: Solve for x
    x = 133,720,303,594.12/414,851.55
  6. Step 6: Final answer
    x = 322,332.90

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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.