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Finding the Fourth Proportional to 302,488.70, 454,013.10 and 152,834.31

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Solution

The fourth proportional to 302,488.70, 454,013.10 and 152,834.31 is: 229,392.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,488.70 : 454,013.10 = 152,834.31 : x
  2. Step 2: Convert to fraction form
    302,488.70/454,013.10 = 152,834.31/x
  3. Step 3: Cross multiply
    302,488.70x = 454,013.10 × 152,834.31
  4. Step 4: Simplify right side
    302,488.70x = 69,388,778,869.46
  5. Step 5: Solve for x
    x = 69,388,778,869.46/302,488.70
  6. Step 6: Final answer
    x = 229,392.97

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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.