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Finding the Fourth Proportional to 469,981.44, 705,088.80 and 137,557.44

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Solution

The fourth proportional to 469,981.44, 705,088.80 and 137,557.44 is: 206,370.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,981.44 : 705,088.80 = 137,557.44 : x
  2. Step 2: Convert to fraction form
    469,981.44/705,088.80 = 137,557.44/x
  3. Step 3: Cross multiply
    469,981.44x = 705,088.80 × 137,557.44
  4. Step 4: Simplify right side
    469,981.44x = 96,990,210,300.67
  5. Step 5: Solve for x
    x = 96,990,210,300.67/469,981.44
  6. Step 6: Final answer
    x = 206,370.30

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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.