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Finding the Fourth Proportional to 314,058.58, 470,802.81 and 114,237.73

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Solution

The fourth proportional to 314,058.58, 470,802.81 and 114,237.73 is: 171,252.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,058.58 : 470,802.81 = 114,237.73 : x
  2. Step 2: Convert to fraction form
    314,058.58/470,802.81 = 114,237.73/x
  3. Step 3: Cross multiply
    314,058.58x = 470,802.81 × 114,237.73
  4. Step 4: Simplify right side
    314,058.58x = 53,783,444,292.02
  5. Step 5: Solve for x
    x = 53,783,444,292.02/314,058.58
  6. Step 6: Final answer
    x = 171,252.91

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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.