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Finding the Fourth Proportional to 419,340.88, 578,697.01 and 228,354.12

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Solution

The fourth proportional to 419,340.88, 578,697.01 and 228,354.12 is: 315,132.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,340.88 : 578,697.01 = 228,354.12 : x
  2. Step 2: Convert to fraction form
    419,340.88/578,697.01 = 228,354.12/x
  3. Step 3: Cross multiply
    419,340.88x = 578,697.01 × 228,354.12
  4. Step 4: Simplify right side
    419,340.88x = 132,147,845,894.30
  5. Step 5: Solve for x
    x = 132,147,845,894.30/419,340.88
  6. Step 6: Final answer
    x = 315,132.27

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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.