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Finding the Fourth Proportional to 302,409.65, 453,669.15 and 152,272.10

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Solution

The fourth proportional to 302,409.65, 453,669.15 and 152,272.10 is: 228,435.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,409.65 : 453,669.15 = 152,272.10 : x
  2. Step 2: Convert to fraction form
    302,409.65/453,669.15 = 152,272.10/x
  3. Step 3: Cross multiply
    302,409.65x = 453,669.15 × 152,272.10
  4. Step 4: Simplify right side
    302,409.65x = 69,081,154,175.72
  5. Step 5: Solve for x
    x = 69,081,154,175.72/302,409.65
  6. Step 6: Final answer
    x = 228,435.68

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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.