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Finding the Fourth Proportional to 315,264.26, 472,893.27 and 144,437.51

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Solution

The fourth proportional to 315,264.26, 472,893.27 and 144,437.51 is: 216,654.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,264.26 : 472,893.27 = 144,437.51 : x
  2. Step 2: Convert to fraction form
    315,264.26/472,893.27 = 144,437.51/x
  3. Step 3: Cross multiply
    315,264.26x = 472,893.27 × 144,437.51
  4. Step 4: Simplify right side
    315,264.26x = 68,303,527,235.70
  5. Step 5: Solve for x
    x = 68,303,527,235.70/315,264.26
  6. Step 6: Final answer
    x = 216,654.84

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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.