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Finding the Fourth Proportional to 277,567.16, 416,371.80 and 109,006.16

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Solution

The fourth proportional to 277,567.16, 416,371.80 and 109,006.16 is: 163,517.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,567.16 : 416,371.80 = 109,006.16 : x
  2. Step 2: Convert to fraction form
    277,567.16/416,371.80 = 109,006.16/x
  3. Step 3: Cross multiply
    277,567.16x = 416,371.80 × 109,006.16
  4. Step 4: Simplify right side
    277,567.16x = 45,387,091,050.29
  5. Step 5: Solve for x
    x = 45,387,091,050.29/277,567.16
  6. Step 6: Final answer
    x = 163,517.51

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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.