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Finding the Fourth Proportional to 584,527.50, 806,647.95 and 316,255.50

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Solution

The fourth proportional to 584,527.50, 806,647.95 and 316,255.50 is: 436,432.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,527.50 : 806,647.95 = 316,255.50 : x
  2. Step 2: Convert to fraction form
    584,527.50/806,647.95 = 316,255.50/x
  3. Step 3: Cross multiply
    584,527.50x = 806,647.95 × 316,255.50
  4. Step 4: Simplify right side
    584,527.50x = 255,106,850,751.23
  5. Step 5: Solve for x
    x = 255,106,850,751.23/584,527.50
  6. Step 6: Final answer
    x = 436,432.59

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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.