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Finding the Fourth Proportional to 419,778.16, 579,306 and 228,803.92

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Solution

The fourth proportional to 419,778.16, 579,306 and 228,803.92 is: 315,756.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,778.16 : 579,306 = 228,803.92 : x
  2. Step 2: Convert to fraction form
    419,778.16/579,306 = 228,803.92/x
  3. Step 3: Cross multiply
    419,778.16x = 579,306 × 228,803.92
  4. Step 4: Simplify right side
    419,778.16x = 132,547,483,679.52
  5. Step 5: Solve for x
    x = 132,547,483,679.52/419,778.16
  6. Step 6: Final answer
    x = 315,756.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.