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Finding the Fourth Proportional to 314,855.67, 434,501.10 and 171,612.84

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Solution

The fourth proportional to 314,855.67, 434,501.10 and 171,612.84 is: 236,825.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,855.67 : 434,501.10 = 171,612.84 : x
  2. Step 2: Convert to fraction form
    314,855.67/434,501.10 = 171,612.84/x
  3. Step 3: Cross multiply
    314,855.67x = 434,501.10 × 171,612.84
  4. Step 4: Simplify right side
    314,855.67x = 74,565,967,754.12
  5. Step 5: Solve for x
    x = 74,565,967,754.12/314,855.67
  6. Step 6: Final answer
    x = 236,825.87

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1.5x scale

Why These Related Problems?

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