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Finding the Fourth Proportional to 334,428.29, 501,783.15 and 208,174.15

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Solution

The fourth proportional to 334,428.29, 501,783.15 and 208,174.15 is: 312,348.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,428.29 : 501,783.15 = 208,174.15 : x
  2. Step 2: Convert to fraction form
    334,428.29/501,783.15 = 208,174.15/x
  3. Step 3: Cross multiply
    334,428.29x = 501,783.15 × 208,174.15
  4. Step 4: Simplify right side
    334,428.29x = 104,458,282,143.46
  5. Step 5: Solve for x
    x = 104,458,282,143.46/334,428.29
  6. Step 6: Final answer
    x = 312,348.82

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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.