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Finding the Fourth Proportional to 346,197.82, 519,244.78 and 109,509.74

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Solution

The fourth proportional to 346,197.82, 519,244.78 and 109,509.74 is: 164,248.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,197.82 : 519,244.78 = 109,509.74 : x
  2. Step 2: Convert to fraction form
    346,197.82/519,244.78 = 109,509.74/x
  3. Step 3: Cross multiply
    346,197.82x = 519,244.78 × 109,509.74
  4. Step 4: Simplify right side
    346,197.82x = 56,862,361,878.49
  5. Step 5: Solve for x
    x = 56,862,361,878.49/346,197.82
  6. Step 6: Final answer
    x = 164,248.18

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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.