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Finding the Fourth Proportional to 414,520.40, 572,038.12 and 235,672.40

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Solution

The fourth proportional to 414,520.40, 572,038.12 and 235,672.40 is: 325,227.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,520.40 : 572,038.12 = 235,672.40 : x
  2. Step 2: Convert to fraction form
    414,520.40/572,038.12 = 235,672.40/x
  3. Step 3: Cross multiply
    414,520.40x = 572,038.12 × 235,672.40
  4. Step 4: Simplify right side
    414,520.40x = 134,813,596,631.89
  5. Step 5: Solve for x
    x = 134,813,596,631.89/414,520.40
  6. Step 6: Final answer
    x = 325,227.89

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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.