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Finding the Fourth Proportional to 302,246.54, 452,996.11 and 152,529.65

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Solution

The fourth proportional to 302,246.54, 452,996.11 and 152,529.65 is: 228,605.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,246.54 : 452,996.11 = 152,529.65 : x
  2. Step 2: Convert to fraction form
    302,246.54/452,996.11 = 152,529.65/x
  3. Step 3: Cross multiply
    302,246.54x = 452,996.11 × 152,529.65
  4. Step 4: Simplify right side
    302,246.54x = 69,095,337,734.08
  5. Step 5: Solve for x
    x = 69,095,337,734.08/302,246.54
  6. Step 6: Final answer
    x = 228,605.89

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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.