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Finding the Fourth Proportional to 464,846.40, 697,366.80 and 149,335.20

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Solution

The fourth proportional to 464,846.40, 697,366.80 and 149,335.20 is: 224,034.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,846.40 : 697,366.80 = 149,335.20 : x
  2. Step 2: Convert to fraction form
    464,846.40/697,366.80 = 149,335.20/x
  3. Step 3: Cross multiply
    464,846.40x = 697,366.80 × 149,335.20
  4. Step 4: Simplify right side
    464,846.40x = 104,141,410,551.36
  5. Step 5: Solve for x
    x = 104,141,410,551.36/464,846.40
  6. Step 6: Final answer
    x = 224,034.03

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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.