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Finding the Fourth Proportional to 282,731.90, 424,053.30 and 235,006.98

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Solution

The fourth proportional to 282,731.90, 424,053.30 and 235,006.98 is: 352,473.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,731.90 : 424,053.30 = 235,006.98 : x
  2. Step 2: Convert to fraction form
    282,731.90/424,053.30 = 235,006.98/x
  3. Step 3: Cross multiply
    282,731.90x = 424,053.30 × 235,006.98
  4. Step 4: Simplify right side
    282,731.90x = 99,655,485,392.03
  5. Step 5: Solve for x
    x = 99,655,485,392.03/282,731.90
  6. Step 6: Final answer
    x = 352,473.44

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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.