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Finding the Fourth Proportional to 304,319.16, 455,866.92 and 141,983.82

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Solution

The fourth proportional to 304,319.16, 455,866.92 and 141,983.82 is: 212,690.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,319.16 : 455,866.92 = 141,983.82 : x
  2. Step 2: Convert to fraction form
    304,319.16/455,866.92 = 141,983.82/x
  3. Step 3: Cross multiply
    304,319.16x = 455,866.92 × 141,983.82
  4. Step 4: Simplify right side
    304,319.16x = 64,725,726,713.23
  5. Step 5: Solve for x
    x = 64,725,726,713.23/304,319.16
  6. Step 6: Final answer
    x = 212,690.28

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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.