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Finding the Fourth Proportional to 464,889.30, 697,015.61 and 236,743.29

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Solution

The fourth proportional to 464,889.30, 697,015.61 and 236,743.29 is: 354,952.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,889.30 : 697,015.61 = 236,743.29 : x
  2. Step 2: Convert to fraction form
    464,889.30/697,015.61 = 236,743.29/x
  3. Step 3: Cross multiply
    464,889.30x = 697,015.61 × 236,743.29
  4. Step 4: Simplify right side
    464,889.30x = 165,013,767,509.04
  5. Step 5: Solve for x
    x = 165,013,767,509.04/464,889.30
  6. Step 6: Final answer
    x = 354,952.82

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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.