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Finding the Fourth Proportional to 552,642.30, 828,963.45 and 412,674.30

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Solution

The fourth proportional to 552,642.30, 828,963.45 and 412,674.30 is: 619,011.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,642.30 : 828,963.45 = 412,674.30 : x
  2. Step 2: Convert to fraction form
    552,642.30/828,963.45 = 412,674.30/x
  3. Step 3: Cross multiply
    552,642.30x = 828,963.45 × 412,674.30
  4. Step 4: Simplify right side
    552,642.30x = 342,091,911,454.34
  5. Step 5: Solve for x
    x = 342,091,911,454.34/552,642.30
  6. Step 6: Final answer
    x = 619,011.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.