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Finding the Fourth Proportional to 457,886.60, 686,829.90 and 209,054.60

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Solution

The fourth proportional to 457,886.60, 686,829.90 and 209,054.60 is: 313,581.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,886.60 : 686,829.90 = 209,054.60 : x
  2. Step 2: Convert to fraction form
    457,886.60/686,829.90 = 209,054.60/x
  3. Step 3: Cross multiply
    457,886.60x = 686,829.90 × 209,054.60
  4. Step 4: Simplify right side
    457,886.60x = 143,584,950,012.54
  5. Step 5: Solve for x
    x = 143,584,950,012.54/457,886.60
  6. Step 6: Final answer
    x = 313,581.90

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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.