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Finding the Fourth Proportional to 407,738.20, 562,646.50 and 226,432.60

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Solution

The fourth proportional to 407,738.20, 562,646.50 and 226,432.60 is: 312,459.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,738.20 : 562,646.50 = 226,432.60 : x
  2. Step 2: Convert to fraction form
    407,738.20/562,646.50 = 226,432.60/x
  3. Step 3: Cross multiply
    407,738.20x = 562,646.50 × 226,432.60
  4. Step 4: Simplify right side
    407,738.20x = 127,401,509,875.90
  5. Step 5: Solve for x
    x = 127,401,509,875.90/407,738.20
  6. Step 6: Final answer
    x = 312,459.10

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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.