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Finding the Fourth Proportional to 517,406.29, 714,013.54 and 287,963.51

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Solution

The fourth proportional to 517,406.29, 714,013.54 and 287,963.51 is: 397,385.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,406.29 : 714,013.54 = 287,963.51 : x
  2. Step 2: Convert to fraction form
    517,406.29/714,013.54 = 287,963.51/x
  3. Step 3: Cross multiply
    517,406.29x = 714,013.54 × 287,963.51
  4. Step 4: Simplify right side
    517,406.29x = 205,609,840,875.95
  5. Step 5: Solve for x
    x = 205,609,840,875.95/517,406.29
  6. Step 6: Final answer
    x = 397,385.66

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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.