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Finding the Fourth Proportional to 346,500.99, 478,166.31 and 193,541.36

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Solution

The fourth proportional to 346,500.99, 478,166.31 and 193,541.36 is: 267,084.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,500.99 : 478,166.31 = 193,541.36 : x
  2. Step 2: Convert to fraction form
    346,500.99/478,166.31 = 193,541.36/x
  3. Step 3: Cross multiply
    346,500.99x = 478,166.31 × 193,541.36
  4. Step 4: Simplify right side
    346,500.99x = 92,544,955,552.75
  5. Step 5: Solve for x
    x = 92,544,955,552.75/346,500.99
  6. Step 6: Final answer
    x = 267,084.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.