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Finding the Fourth Proportional to 302,524.80, 453,830.40 and 102,854.40

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Solution

The fourth proportional to 302,524.80, 453,830.40 and 102,854.40 is: 154,296.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,524.80 : 453,830.40 = 102,854.40 : x
  2. Step 2: Convert to fraction form
    302,524.80/453,830.40 = 102,854.40/x
  3. Step 3: Cross multiply
    302,524.80x = 453,830.40 × 102,854.40
  4. Step 4: Simplify right side
    302,524.80x = 46,678,453,493.76
  5. Step 5: Solve for x
    x = 46,678,453,493.76/302,524.80
  6. Step 6: Final answer
    x = 154,296.29

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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.