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Finding the Fourth Proportional to 584,516, 806,632.08 and 316,244

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Solution

The fourth proportional to 584,516, 806,632.08 and 316,244 is: 436,416.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,516 : 806,632.08 = 316,244 : x
  2. Step 2: Convert to fraction form
    584,516/806,632.08 = 316,244/x
  3. Step 3: Cross multiply
    584,516x = 806,632.08 × 316,244
  4. Step 4: Simplify right side
    584,516x = 255,092,555,507.52
  5. Step 5: Solve for x
    x = 255,092,555,507.52/584,516
  6. Step 6: Final answer
    x = 436,416.72

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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.