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Finding the Fourth Proportional to 416,284.32, 624,426.51 and 100,741.26

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Solution

The fourth proportional to 416,284.32, 624,426.51 and 100,741.26 is: 151,111.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,284.32 : 624,426.51 = 100,741.26 : x
  2. Step 2: Convert to fraction form
    416,284.32/624,426.51 = 100,741.26/x
  3. Step 3: Cross multiply
    416,284.32x = 624,426.51 × 100,741.26
  4. Step 4: Simplify right side
    416,284.32x = 62,905,513,394.80
  5. Step 5: Solve for x
    x = 62,905,513,394.80/416,284.32
  6. Step 6: Final answer
    x = 151,111.90

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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.