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Finding the Fourth Proportional to 551,552.32, 827,115.25 and 214,547.47

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Solution

The fourth proportional to 551,552.32, 827,115.25 and 214,547.47 is: 321,738.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,552.32 : 827,115.25 = 214,547.47 : x
  2. Step 2: Convert to fraction form
    551,552.32/827,115.25 = 214,547.47/x
  3. Step 3: Cross multiply
    551,552.32x = 827,115.25 × 214,547.47
  4. Step 4: Simplify right side
    551,552.32x = 177,455,482,084.04
  5. Step 5: Solve for x
    x = 177,455,482,084.04/551,552.32
  6. Step 6: Final answer
    x = 321,738.26

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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.