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Finding the Fourth Proportional to 314,251.94, 433,666.88 and 171,011.95

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Solution

The fourth proportional to 314,251.94, 433,666.88 and 171,011.95 is: 235,996.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,251.94 : 433,666.88 = 171,011.95 : x
  2. Step 2: Convert to fraction form
    314,251.94/433,666.88 = 171,011.95/x
  3. Step 3: Cross multiply
    314,251.94x = 433,666.88 × 171,011.95
  4. Step 4: Simplify right side
    314,251.94x = 74,162,217,501.28
  5. Step 5: Solve for x
    x = 74,162,217,501.28/314,251.94
  6. Step 6: Final answer
    x = 235,996.05

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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.