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Finding the Fourth Proportional to 261,038.24, 360,406.20 and 200,500.52

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Solution

The fourth proportional to 261,038.24, 360,406.20 and 200,500.52 is: 276,823.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,038.24 : 360,406.20 = 200,500.52 : x
  2. Step 2: Convert to fraction form
    261,038.24/360,406.20 = 200,500.52/x
  3. Step 3: Cross multiply
    261,038.24x = 360,406.20 × 200,500.52
  4. Step 4: Simplify right side
    261,038.24x = 72,261,630,511.22
  5. Step 5: Solve for x
    x = 72,261,630,511.22/261,038.24
  6. Step 6: Final answer
    x = 276,823.93

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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.