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Finding the Fourth Proportional to 552,643.80, 828,965.70 and 412,675.80

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Solution

The fourth proportional to 552,643.80, 828,965.70 and 412,675.80 is: 619,013.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,643.80 : 828,965.70 = 412,675.80 : x
  2. Step 2: Convert to fraction form
    552,643.80/828,965.70 = 412,675.80/x
  3. Step 3: Cross multiply
    552,643.80x = 828,965.70 × 412,675.80
  4. Step 4: Simplify right side
    552,643.80x = 342,094,083,420.06
  5. Step 5: Solve for x
    x = 342,094,083,420.06/552,643.80
  6. Step 6: Final answer
    x = 619,013.70

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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.