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Finding the Fourth Proportional to 282,333.53, 389,569.50 and 159,825.08

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Solution

The fourth proportional to 282,333.53, 389,569.50 and 159,825.08 is: 220,529.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,333.53 : 389,569.50 = 159,825.08 : x
  2. Step 2: Convert to fraction form
    282,333.53/389,569.50 = 159,825.08/x
  3. Step 3: Cross multiply
    282,333.53x = 389,569.50 × 159,825.08
  4. Step 4: Simplify right side
    282,333.53x = 62,262,977,476.98
  5. Step 5: Solve for x
    x = 62,262,977,476.98/282,333.53
  6. Step 6: Final answer
    x = 220,529.87

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1.5x scale

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.