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Finding the Fourth Proportional to 302,592.96, 454,169.52 and 152,938.80

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Solution

The fourth proportional to 302,592.96, 454,169.52 and 152,938.80 is: 229,549.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,592.96 : 454,169.52 = 152,938.80 : x
  2. Step 2: Convert to fraction form
    302,592.96/454,169.52 = 152,938.80/x
  3. Step 3: Cross multiply
    302,592.96x = 454,169.52 × 152,938.80
  4. Step 4: Simplify right side
    302,592.96x = 69,460,141,385.38
  5. Step 5: Solve for x
    x = 69,460,141,385.38/302,592.96
  6. Step 6: Final answer
    x = 229,549.76

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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.