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Finding the Fourth Proportional to 419,191.50, 578,484.28 and 228,193.50

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Solution

The fourth proportional to 419,191.50, 578,484.28 and 228,193.50 is: 314,907.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,191.50 : 578,484.28 = 228,193.50 : x
  2. Step 2: Convert to fraction form
    419,191.50/578,484.28 = 228,193.50/x
  3. Step 3: Cross multiply
    419,191.50x = 578,484.28 × 228,193.50
  4. Step 4: Simplify right side
    419,191.50x = 132,006,352,548.18
  5. Step 5: Solve for x
    x = 132,006,352,548.18/419,191.50
  6. Step 6: Final answer
    x = 314,907.04

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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.