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Finding the Fourth Proportional to 470,174.25, 648,840.48 and 268,970.25

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Solution

The fourth proportional to 470,174.25, 648,840.48 and 268,970.25 is: 371,178.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,174.25 : 648,840.48 = 268,970.25 : x
  2. Step 2: Convert to fraction form
    470,174.25/648,840.48 = 268,970.25/x
  3. Step 3: Cross multiply
    470,174.25x = 648,840.48 × 268,970.25
  4. Step 4: Simplify right side
    470,174.25x = 174,518,786,115.72
  5. Step 5: Solve for x
    x = 174,518,786,115.72/470,174.25
  6. Step 6: Final answer
    x = 371,178.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.