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Finding the Fourth Proportional to 419,206, 578,548.02 and 237,966.88

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Solution

The fourth proportional to 419,206, 578,548.02 and 237,966.88 is: 328,419.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,206 : 578,548.02 = 237,966.88 : x
  2. Step 2: Convert to fraction form
    419,206/578,548.02 = 237,966.88/x
  3. Step 3: Cross multiply
    419,206x = 578,548.02 × 237,966.88
  4. Step 4: Simplify right side
    419,206x = 137,675,267,249.58
  5. Step 5: Solve for x
    x = 137,675,267,249.58/419,206
  6. Step 6: Final answer
    x = 328,419.12

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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.