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Finding the Fourth Proportional to 548,821.52, 822,631.74 and 282,598.01

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Solution

The fourth proportional to 548,821.52, 822,631.74 and 282,598.01 is: 423,587.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,821.52 : 822,631.74 = 282,598.01 : x
  2. Step 2: Convert to fraction form
    548,821.52/822,631.74 = 282,598.01/x
  3. Step 3: Cross multiply
    548,821.52x = 822,631.74 × 282,598.01
  4. Step 4: Simplify right side
    548,821.52x = 232,474,092,686.84
  5. Step 5: Solve for x
    x = 232,474,092,686.84/548,821.52
  6. Step 6: Final answer
    x = 423,587.79

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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.