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Finding the Fourth Proportional to 584,529.50, 806,650.71 and 316,257.50

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Solution

The fourth proportional to 584,529.50, 806,650.71 and 316,257.50 is: 436,435.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,529.50 : 806,650.71 = 316,257.50 : x
  2. Step 2: Convert to fraction form
    584,529.50/806,650.71 = 316,257.50/x
  3. Step 3: Cross multiply
    584,529.50x = 806,650.71 × 316,257.50
  4. Step 4: Simplify right side
    584,529.50x = 255,109,336,917.83
  5. Step 5: Solve for x
    x = 255,109,336,917.83/584,529.50
  6. Step 6: Final answer
    x = 436,435.35

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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.