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Finding the Fourth Proportional to 302,352.17, 417,106.40 and 194,956.70

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Solution

The fourth proportional to 302,352.17, 417,106.40 and 194,956.70 is: 268,950.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,352.17 : 417,106.40 = 194,956.70 : x
  2. Step 2: Convert to fraction form
    302,352.17/417,106.40 = 194,956.70/x
  3. Step 3: Cross multiply
    302,352.17x = 417,106.40 × 194,956.70
  4. Step 4: Simplify right side
    302,352.17x = 81,317,684,232.56
  5. Step 5: Solve for x
    x = 81,317,684,232.56/302,352.17
  6. Step 6: Final answer
    x = 268,950.23

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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.