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Finding the Fourth Proportional to 346,563.54, 519,863.67 and 97,264.98

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Solution

The fourth proportional to 346,563.54, 519,863.67 and 97,264.98 is: 145,902.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,563.54 : 519,863.67 = 97,264.98 : x
  2. Step 2: Convert to fraction form
    346,563.54/519,863.67 = 97,264.98/x
  3. Step 3: Cross multiply
    346,563.54x = 519,863.67 × 97,264.98
  4. Step 4: Simplify right side
    346,563.54x = 50,564,529,465.28
  5. Step 5: Solve for x
    x = 50,564,529,465.28/346,563.54
  6. Step 6: Final answer
    x = 145,902.62

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Why These Related Problems?

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