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Finding the Fourth Proportional to 419,383.56, 578,712.76 and 238,103.13

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Solution

The fourth proportional to 419,383.56, 578,712.76 and 238,103.13 is: 328,561.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,383.56 : 578,712.76 = 238,103.13 : x
  2. Step 2: Convert to fraction form
    419,383.56/578,712.76 = 238,103.13/x
  3. Step 3: Cross multiply
    419,383.56x = 578,712.76 × 238,103.13
  4. Step 4: Simplify right side
    419,383.56x = 137,793,319,526.94
  5. Step 5: Solve for x
    x = 137,793,319,526.94/419,383.56
  6. Step 6: Final answer
    x = 328,561.57

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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.