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Finding the Fourth Proportional to 442,516, 610,718.16 and 272,745.76

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Solution

The fourth proportional to 442,516, 610,718.16 and 272,745.76 is: 376,417.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,516 : 610,718.16 = 272,745.76 : x
  2. Step 2: Convert to fraction form
    442,516/610,718.16 = 272,745.76/x
  3. Step 3: Cross multiply
    442,516x = 610,718.16 × 272,745.76
  4. Step 4: Simplify right side
    442,516x = 166,570,788,695.00
  5. Step 5: Solve for x
    x = 166,570,788,695.00/442,516
  6. Step 6: Final answer
    x = 376,417.55

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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.