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Finding the Fourth Proportional to 346,443.30, 519,616.35 and 109,809.90

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Solution

The fourth proportional to 346,443.30, 519,616.35 and 109,809.90 is: 164,699.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,443.30 : 519,616.35 = 109,809.90 : x
  2. Step 2: Convert to fraction form
    346,443.30/519,616.35 = 109,809.90/x
  3. Step 3: Cross multiply
    346,443.30x = 519,616.35 × 109,809.90
  4. Step 4: Simplify right side
    346,443.30x = 57,059,019,431.87
  5. Step 5: Solve for x
    x = 57,059,019,431.87/346,443.30
  6. Step 6: Final answer
    x = 164,699.45

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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.