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Finding the Fourth Proportional to 419,196.54, 578,570.94 and 237,925.44

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Solution

The fourth proportional to 419,196.54, 578,570.94 and 237,925.44 is: 328,382.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,196.54 : 578,570.94 = 237,925.44 : x
  2. Step 2: Convert to fraction form
    419,196.54/578,570.94 = 237,925.44/x
  3. Step 3: Cross multiply
    419,196.54x = 578,570.94 × 237,925.44
  4. Step 4: Simplify right side
    419,196.54x = 137,656,745,470.71
  5. Step 5: Solve for x
    x = 137,656,745,470.71/419,196.54
  6. Step 6: Final answer
    x = 328,382.35

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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.