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Finding the Fourth Proportional to 457,863.60, 686,795.40 and 209,031.60

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Solution

The fourth proportional to 457,863.60, 686,795.40 and 209,031.60 is: 313,547.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,863.60 : 686,795.40 = 209,031.60 : x
  2. Step 2: Convert to fraction form
    457,863.60/686,795.40 = 209,031.60/x
  3. Step 3: Cross multiply
    457,863.60x = 686,795.40 × 209,031.60
  4. Step 4: Simplify right side
    457,863.60x = 143,561,941,334.64
  5. Step 5: Solve for x
    x = 143,561,941,334.64/457,863.60
  6. Step 6: Final answer
    x = 313,547.40

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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.