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Finding the Fourth Proportional to 543,058.29, 814,661.42 and 315,460.71

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Solution

The fourth proportional to 543,058.29, 814,661.42 and 315,460.71 is: 473,234.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,058.29 : 814,661.42 = 315,460.71 : x
  2. Step 2: Convert to fraction form
    543,058.29/814,661.42 = 315,460.71/x
  3. Step 3: Cross multiply
    543,058.29x = 814,661.42 × 315,460.71
  4. Step 4: Simplify right side
    543,058.29x = 256,993,668,385.51
  5. Step 5: Solve for x
    x = 256,993,668,385.51/543,058.29
  6. Step 6: Final answer
    x = 473,234.04

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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.