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Finding the Fourth Proportional to 410,515,219.50, 566,057,043.27 and 261,600,445.50

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Solution

The fourth proportional to 410,515,219.50, 566,057,043.27 and 261,600,445.50 is: 360,719,329.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,515,219.50 : 566,057,043.27 = 261,600,445.50 : x
  2. Step 2: Convert to fraction form
    410,515,219.50/566,057,043.27 = 261,600,445.50/x
  3. Step 3: Cross multiply
    410,515,219.50x = 566,057,043.27 × 261,600,445.50
  4. Step 4: Simplify right side
    410,515,219.50x = 148,080,774,697,844,768
  5. Step 5: Solve for x
    x = 148,080,774,697,844,768/410,515,219.50
  6. Step 6: Final answer
    x = 360,719,329.43

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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.