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Finding the Fourth Proportional to 302,478.96, 453,999.12 and 152,824.36

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Solution

The fourth proportional to 302,478.96, 453,999.12 and 152,824.36 is: 229,378.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,478.96 : 453,999.12 = 152,824.36 : x
  2. Step 2: Convert to fraction form
    302,478.96/453,999.12 = 152,824.36/x
  3. Step 3: Cross multiply
    302,478.96x = 453,999.12 × 152,824.36
  4. Step 4: Simplify right side
    302,478.96x = 69,382,124,954.56
  5. Step 5: Solve for x
    x = 69,382,124,954.56/302,478.96
  6. Step 6: Final answer
    x = 229,378.35

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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.