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Finding the Fourth Proportional to 314,808.84, 434,423.52 and 171,565.80

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Solution

The fourth proportional to 314,808.84, 434,423.52 and 171,565.80 is: 236,753.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,808.84 : 434,423.52 = 171,565.80 : x
  2. Step 2: Convert to fraction form
    314,808.84/434,423.52 = 171,565.80/x
  3. Step 3: Cross multiply
    314,808.84x = 434,423.52 × 171,565.80
  4. Step 4: Simplify right side
    314,808.84x = 74,532,218,747.62
  5. Step 5: Solve for x
    x = 74,532,218,747.62/314,808.84
  6. Step 6: Final answer
    x = 236,753.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.