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Finding the Fourth Proportional to 287,714.70, 402,275.70 and 287,714.70

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Solution

The fourth proportional to 287,714.70, 402,275.70 and 287,714.70 is: 402,275.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,714.70 : 402,275.70 = 287,714.70 : x
  2. Step 2: Convert to fraction form
    287,714.70/402,275.70 = 287,714.70/x
  3. Step 3: Cross multiply
    287,714.70x = 402,275.70 × 287,714.70
  4. Step 4: Simplify right side
    287,714.70x = 115,740,632,342.79
  5. Step 5: Solve for x
    x = 115,740,632,342.79/287,714.70
  6. Step 6: Final answer
    x = 402,275.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.