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Finding the Fourth Proportional to 419,210.88, 578,512.38 and 228,225.66

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Solution

The fourth proportional to 419,210.88, 578,512.38 and 228,225.66 is: 314,952.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,210.88 : 578,512.38 = 228,225.66 : x
  2. Step 2: Convert to fraction form
    419,210.88/578,512.38 = 228,225.66/x
  3. Step 3: Cross multiply
    419,210.88x = 578,512.38 × 228,225.66
  4. Step 4: Simplify right side
    419,210.88x = 132,031,369,743.67
  5. Step 5: Solve for x
    x = 132,031,369,743.67/419,210.88
  6. Step 6: Final answer
    x = 314,952.15

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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.