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Finding the Fourth Proportional to 302,416.84, 417,161.40 and 189,042.76

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Solution

The fourth proportional to 302,416.84, 417,161.40 and 189,042.76 is: 260,770.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,416.84 : 417,161.40 = 189,042.76 : x
  2. Step 2: Convert to fraction form
    302,416.84/417,161.40 = 189,042.76/x
  3. Step 3: Cross multiply
    302,416.84x = 417,161.40 × 189,042.76
  4. Step 4: Simplify right side
    302,416.84x = 78,861,342,421.46
  5. Step 5: Solve for x
    x = 78,861,342,421.46/302,416.84
  6. Step 6: Final answer
    x = 260,770.34

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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.