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Finding the Fourth Proportional to 414,854.55, 572,510.12 and 233,573.15

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Solution

The fourth proportional to 414,854.55, 572,510.12 and 233,573.15 is: 322,337.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,854.55 : 572,510.12 = 233,573.15 : x
  2. Step 2: Convert to fraction form
    414,854.55/572,510.12 = 233,573.15/x
  3. Step 3: Cross multiply
    414,854.55x = 572,510.12 × 233,573.15
  4. Step 4: Simplify right side
    414,854.55x = 133,722,992,135.28
  5. Step 5: Solve for x
    x = 133,722,992,135.28/414,854.55
  6. Step 6: Final answer
    x = 322,337.05

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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.