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Finding the Fourth Proportional to 282,709.60, 424,064.40 and 244,218.40

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Solution

The fourth proportional to 282,709.60, 424,064.40 and 244,218.40 is: 366,327.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,709.60 : 424,064.40 = 244,218.40 : x
  2. Step 2: Convert to fraction form
    282,709.60/424,064.40 = 244,218.40/x
  3. Step 3: Cross multiply
    282,709.60x = 424,064.40 × 244,218.40
  4. Step 4: Simplify right side
    282,709.60x = 103,564,329,264.96
  5. Step 5: Solve for x
    x = 103,564,329,264.96/282,709.60
  6. Step 6: Final answer
    x = 366,327.60

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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.