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Finding the Fourth Proportional to 457,805.10, 686,707.65 and 233,856.30

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Solution

The fourth proportional to 457,805.10, 686,707.65 and 233,856.30 is: 350,784.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,805.10 : 686,707.65 = 233,856.30 : x
  2. Step 2: Convert to fraction form
    457,805.10/686,707.65 = 233,856.30/x
  3. Step 3: Cross multiply
    457,805.10x = 686,707.65 × 233,856.30
  4. Step 4: Simplify right side
    457,805.10x = 160,590,910,210.70
  5. Step 5: Solve for x
    x = 160,590,910,210.70/457,805.10
  6. Step 6: Final answer
    x = 350,784.45

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.