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Finding the Fourth Proportional to 547,088.65, 820,674.48 and 147,723.61

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Solution

The fourth proportional to 547,088.65, 820,674.48 and 147,723.61 is: 221,596.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,088.65 : 820,674.48 = 147,723.61 : x
  2. Step 2: Convert to fraction form
    547,088.65/820,674.48 = 147,723.61/x
  3. Step 3: Cross multiply
    547,088.65x = 820,674.48 × 147,723.61
  4. Step 4: Simplify right side
    547,088.65x = 121,232,996,820.47
  5. Step 5: Solve for x
    x = 121,232,996,820.47/547,088.65
  6. Step 6: Final answer
    x = 221,596.62

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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.