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Finding the Fourth Proportional to 547,980.50, 822,217 and 348,249.08

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Solution

The fourth proportional to 547,980.50, 822,217 and 348,249.08 is: 522,530.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,980.50 : 822,217 = 348,249.08 : x
  2. Step 2: Convert to fraction form
    547,980.50/822,217 = 348,249.08/x
  3. Step 3: Cross multiply
    547,980.50x = 822,217 × 348,249.08
  4. Step 4: Simplify right side
    547,980.50x = 286,336,313,810.36
  5. Step 5: Solve for x
    x = 286,336,313,810.36/547,980.50
  6. Step 6: Final answer
    x = 522,530.12

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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.