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Finding the Fourth Proportional to 408,657.21, 563,938.16 and 236,582.46

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Solution

The fourth proportional to 408,657.21, 563,938.16 and 236,582.46 is: 326,478.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,657.21 : 563,938.16 = 236,582.46 : x
  2. Step 2: Convert to fraction form
    408,657.21/563,938.16 = 236,582.46/x
  3. Step 3: Cross multiply
    408,657.21x = 563,938.16 × 236,582.46
  4. Step 4: Simplify right side
    408,657.21x = 133,417,875,997.76
  5. Step 5: Solve for x
    x = 133,417,875,997.76/408,657.21
  6. Step 6: Final answer
    x = 326,478.70

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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.