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Finding the Fourth Proportional to 287,726.20, 430,811.70 and 225,518.20

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Solution

The fourth proportional to 287,726.20, 430,811.70 and 225,518.20 is: 337,667.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,726.20 : 430,811.70 = 225,518.20 : x
  2. Step 2: Convert to fraction form
    287,726.20/430,811.70 = 225,518.20/x
  3. Step 3: Cross multiply
    287,726.20x = 430,811.70 × 225,518.20
  4. Step 4: Simplify right side
    287,726.20x = 97,155,879,122.94
  5. Step 5: Solve for x
    x = 97,155,879,122.94/287,726.20
  6. Step 6: Final answer
    x = 337,667.82

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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.