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Finding the Fourth Proportional to 464,898.49, 697,076.77 and 180,256.50

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Solution

The fourth proportional to 464,898.49, 697,076.77 and 180,256.50 is: 270,279.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,898.49 : 697,076.77 = 180,256.50 : x
  2. Step 2: Convert to fraction form
    464,898.49/697,076.77 = 180,256.50/x
  3. Step 3: Cross multiply
    464,898.49x = 697,076.77 × 180,256.50
  4. Step 4: Simplify right side
    464,898.49x = 125,652,617,890.22
  5. Step 5: Solve for x
    x = 125,652,617,890.22/464,898.49
  6. Step 6: Final answer
    x = 270,279.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.