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Finding the Fourth Proportional to 287,430.64, 427,753.17 and 277,852.48

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Solution

The fourth proportional to 287,430.64, 427,753.17 and 277,852.48 is: 413,498.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,430.64 : 427,753.17 = 277,852.48 : x
  2. Step 2: Convert to fraction form
    287,430.64/427,753.17 = 277,852.48/x
  3. Step 3: Cross multiply
    287,430.64x = 427,753.17 × 277,852.48
  4. Step 4: Simplify right side
    287,430.64x = 118,852,278,042.98
  5. Step 5: Solve for x
    x = 118,852,278,042.98/287,430.64
  6. Step 6: Final answer
    x = 413,498.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.