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Finding the Fourth Proportional to 584,506.46, 876,809.34 and 205,394.42

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Solution

The fourth proportional to 584,506.46, 876,809.34 and 205,394.42 is: 308,109.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,506.46 : 876,809.34 = 205,394.42 : x
  2. Step 2: Convert to fraction form
    584,506.46/876,809.34 = 205,394.42/x
  3. Step 3: Cross multiply
    584,506.46x = 876,809.34 × 205,394.42
  4. Step 4: Simplify right side
    584,506.46x = 180,091,745,839.88
  5. Step 5: Solve for x
    x = 180,091,745,839.88/584,506.46
  6. Step 6: Final answer
    x = 308,109.08

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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.