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Finding the Fourth Proportional to 413,621.20, 577,888.70 and 413,621.20

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Solution

The fourth proportional to 413,621.20, 577,888.70 and 413,621.20 is: 577,888.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,621.20 : 577,888.70 = 413,621.20 : x
  2. Step 2: Convert to fraction form
    413,621.20/577,888.70 = 413,621.20/x
  3. Step 3: Cross multiply
    413,621.20x = 577,888.70 × 413,621.20
  4. Step 4: Simplify right side
    413,621.20x = 239,027,017,560.44
  5. Step 5: Solve for x
    x = 239,027,017,560.44/413,621.20
  6. Step 6: Final answer
    x = 577,888.70

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.