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Finding the Fourth Proportional to 709,512.56, 1,063,344.72 and 288,296

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Solution

The fourth proportional to 709,512.56, 1,063,344.72 and 288,296 is: 432,068.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,512.56 : 1,063,344.72 = 288,296 : x
  2. Step 2: Convert to fraction form
    709,512.56/1,063,344.72 = 288,296/x
  3. Step 3: Cross multiply
    709,512.56x = 1,063,344.72 × 288,296
  4. Step 4: Simplify right side
    709,512.56x = 306,558,029,397.12
  5. Step 5: Solve for x
    x = 306,558,029,397.12/709,512.56
  6. Step 6: Final answer
    x = 432,068.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.