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Finding the Fourth Proportional to 548,356.30, 822,332.97 and 188,425.08

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Solution

The fourth proportional to 548,356.30, 822,332.97 and 188,425.08 is: 282,568.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,356.30 : 822,332.97 = 188,425.08 : x
  2. Step 2: Convert to fraction form
    548,356.30/822,332.97 = 188,425.08/x
  3. Step 3: Cross multiply
    548,356.30x = 822,332.97 × 188,425.08
  4. Step 4: Simplify right side
    548,356.30x = 154,948,151,547.22
  5. Step 5: Solve for x
    x = 154,948,151,547.22/548,356.30
  6. Step 6: Final answer
    x = 282,568.38

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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.