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Finding the Fourth Proportional to 302,034, 453,067.60 and 77,396.28

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Solution

The fourth proportional to 302,034, 453,067.60 and 77,396.28 is: 116,098.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,034 : 453,067.60 = 77,396.28 : x
  2. Step 2: Convert to fraction form
    302,034/453,067.60 = 77,396.28/x
  3. Step 3: Cross multiply
    302,034x = 453,067.60 × 77,396.28
  4. Step 4: Simplify right side
    302,034x = 35,065,746,828.53
  5. Step 5: Solve for x
    x = 35,065,746,828.53/302,034
  6. Step 6: Final answer
    x = 116,098.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.