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Finding the Fourth Proportional to 477,442.82, 716,264.78 and 140,455.28

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Solution

The fourth proportional to 477,442.82, 716,264.78 and 140,455.28 is: 210,712.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,442.82 : 716,264.78 = 140,455.28 : x
  2. Step 2: Convert to fraction form
    477,442.82/716,264.78 = 140,455.28/x
  3. Step 3: Cross multiply
    477,442.82x = 716,264.78 × 140,455.28
  4. Step 4: Simplify right side
    477,442.82x = 100,603,171,317.42
  5. Step 5: Solve for x
    x = 100,603,171,317.42/477,442.82
  6. Step 6: Final answer
    x = 210,712.50

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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.