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Finding the Fourth Proportional to 282,970.98, 424,410.32 and 83,244.65

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Solution

The fourth proportional to 282,970.98, 424,410.32 and 83,244.65 is: 124,853.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,970.98 : 424,410.32 = 83,244.65 : x
  2. Step 2: Convert to fraction form
    282,970.98/424,410.32 = 83,244.65/x
  3. Step 3: Cross multiply
    282,970.98x = 424,410.32 × 83,244.65
  4. Step 4: Simplify right side
    282,970.98x = 35,329,888,544.79
  5. Step 5: Solve for x
    x = 35,329,888,544.79/282,970.98
  6. Step 6: Final answer
    x = 124,853.40

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1.5x scale

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.