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Finding the Fourth Proportional to 282,798.40, 424,175.55 and 164,394.22

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Solution

The fourth proportional to 282,798.40, 424,175.55 and 164,394.22 is: 246,578.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,798.40 : 424,175.55 = 164,394.22 : x
  2. Step 2: Convert to fraction form
    282,798.40/424,175.55 = 164,394.22/x
  3. Step 3: Cross multiply
    282,798.40x = 424,175.55 × 164,394.22
  4. Step 4: Simplify right side
    282,798.40x = 69,732,008,685.32
  5. Step 5: Solve for x
    x = 69,732,008,685.32/282,798.40
  6. Step 6: Final answer
    x = 246,578.51

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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.