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Finding the Fourth Proportional to 419,017.14, 578,256.77 and 237,736.71

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Solution

The fourth proportional to 419,017.14, 578,256.77 and 237,736.71 is: 328,084.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,017.14 : 578,256.77 = 237,736.71 : x
  2. Step 2: Convert to fraction form
    419,017.14/578,256.77 = 237,736.71/x
  3. Step 3: Cross multiply
    419,017.14x = 578,256.77 × 237,736.71
  4. Step 4: Simplify right side
    419,017.14x = 137,472,862,629.37
  5. Step 5: Solve for x
    x = 137,472,862,629.37/419,017.14
  6. Step 6: Final answer
    x = 328,084.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.