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Finding the Fourth Proportional to 334,228.80, 501,788.16 and 194,088

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Solution

The fourth proportional to 334,228.80, 501,788.16 and 194,088 is: 291,390.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,228.80 : 501,788.16 = 194,088 : x
  2. Step 2: Convert to fraction form
    334,228.80/501,788.16 = 194,088/x
  3. Step 3: Cross multiply
    334,228.80x = 501,788.16 × 194,088
  4. Step 4: Simplify right side
    334,228.80x = 97,391,060,398.08
  5. Step 5: Solve for x
    x = 97,391,060,398.08/334,228.80
  6. Step 6: Final answer
    x = 291,390.39

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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.