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Finding the Fourth Proportional to 597,963.20, 896,944.80 and 409,006.40

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Solution

The fourth proportional to 597,963.20, 896,944.80 and 409,006.40 is: 613,509.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,963.20 : 896,944.80 = 409,006.40 : x
  2. Step 2: Convert to fraction form
    597,963.20/896,944.80 = 409,006.40/x
  3. Step 3: Cross multiply
    597,963.20x = 896,944.80 × 409,006.40
  4. Step 4: Simplify right side
    597,963.20x = 366,856,163,646.72
  5. Step 5: Solve for x
    x = 366,856,163,646.72/597,963.20
  6. Step 6: Final answer
    x = 613,509.60

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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.