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Finding the Fourth Proportional to 275,412.65, 413,038.94 and 115,484.18

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Solution

The fourth proportional to 275,412.65, 413,038.94 and 115,484.18 is: 173,192.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,412.65 : 413,038.94 = 115,484.18 : x
  2. Step 2: Convert to fraction form
    275,412.65/413,038.94 = 115,484.18/x
  3. Step 3: Cross multiply
    275,412.65x = 413,038.94 × 115,484.18
  4. Step 4: Simplify right side
    275,412.65x = 47,699,460,651.35
  5. Step 5: Solve for x
    x = 47,699,460,651.35/275,412.65
  6. Step 6: Final answer
    x = 173,192.70

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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.