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Finding the Fourth Proportional to 419,033.12, 578,278.76 and 237,752.68

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Solution

The fourth proportional to 419,033.12, 578,278.76 and 237,752.68 is: 328,106.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,033.12 : 578,278.76 = 237,752.68 : x
  2. Step 2: Convert to fraction form
    419,033.12/578,278.76 = 237,752.68/x
  3. Step 3: Cross multiply
    419,033.12x = 578,278.76 × 237,752.68
  4. Step 4: Simplify right side
    419,033.12x = 137,487,324,977.08
  5. Step 5: Solve for x
    x = 137,487,324,977.08/419,033.12
  6. Step 6: Final answer
    x = 328,106.11

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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.