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Finding the Fourth Proportional to 457,885.60, 686,828.40 and 209,053.60

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Solution

The fourth proportional to 457,885.60, 686,828.40 and 209,053.60 is: 313,580.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,885.60 : 686,828.40 = 209,053.60 : x
  2. Step 2: Convert to fraction form
    457,885.60/686,828.40 = 209,053.60/x
  3. Step 3: Cross multiply
    457,885.60x = 686,828.40 × 209,053.60
  4. Step 4: Simplify right side
    457,885.60x = 143,583,949,602.24
  5. Step 5: Solve for x
    x = 143,583,949,602.24/457,885.60
  6. Step 6: Final answer
    x = 313,580.40

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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.