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Finding the Fourth Proportional to 409,432.98, 565,011.77 and 228,152.55

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Solution

The fourth proportional to 409,432.98, 565,011.77 and 228,152.55 is: 314,847.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,432.98 : 565,011.77 = 228,152.55 : x
  2. Step 2: Convert to fraction form
    409,432.98/565,011.77 = 228,152.55/x
  3. Step 3: Cross multiply
    409,432.98x = 565,011.77 × 228,152.55
  4. Step 4: Simplify right side
    409,432.98x = 128,908,876,105.51
  5. Step 5: Solve for x
    x = 128,908,876,105.51/409,432.98
  6. Step 6: Final answer
    x = 314,847.32

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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.