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Finding the Fourth Proportional to 584,394.16, 806,476.53 and 322,748.68

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Solution

The fourth proportional to 584,394.16, 806,476.53 and 322,748.68 is: 445,400.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,394.16 : 806,476.53 = 322,748.68 : x
  2. Step 2: Convert to fraction form
    584,394.16/806,476.53 = 322,748.68/x
  3. Step 3: Cross multiply
    584,394.16x = 806,476.53 × 322,748.68
  4. Step 4: Simplify right side
    584,394.16x = 260,289,235,508.48
  5. Step 5: Solve for x
    x = 260,289,235,508.48/584,394.16
  6. Step 6: Final answer
    x = 445,400.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.