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Finding the Fourth Proportional to 584,750.82, 806,955.90 and 316,478.82

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Solution

The fourth proportional to 584,750.82, 806,955.90 and 316,478.82 is: 436,740.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,750.82 : 806,955.90 = 316,478.82 : x
  2. Step 2: Convert to fraction form
    584,750.82/806,955.90 = 316,478.82/x
  3. Step 3: Cross multiply
    584,750.82x = 806,955.90 × 316,478.82
  4. Step 4: Simplify right side
    584,750.82x = 255,384,451,024.04
  5. Step 5: Solve for x
    x = 255,384,451,024.04/584,750.82
  6. Step 6: Final answer
    x = 436,740.65

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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.