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Finding the Fourth Proportional to 346,475.80, 519,665.10 and 109,842.40

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Solution

The fourth proportional to 346,475.80, 519,665.10 and 109,842.40 is: 164,748.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,475.80 : 519,665.10 = 109,842.40 : x
  2. Step 2: Convert to fraction form
    346,475.80/519,665.10 = 109,842.40/x
  3. Step 3: Cross multiply
    346,475.80x = 519,665.10 × 109,842.40
  4. Step 4: Simplify right side
    346,475.80x = 57,081,261,780.24
  5. Step 5: Solve for x
    x = 57,081,261,780.24/346,475.80
  6. Step 6: Final answer
    x = 164,748.19

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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.