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Finding the Fourth Proportional to 464,901.37, 697,081.08 and 180,259.39

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Solution

The fourth proportional to 464,901.37, 697,081.08 and 180,259.39 is: 270,284.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,901.37 : 697,081.08 = 180,259.39 : x
  2. Step 2: Convert to fraction form
    464,901.37/697,081.08 = 180,259.39/x
  3. Step 3: Cross multiply
    464,901.37x = 697,081.08 × 180,259.39
  4. Step 4: Simplify right side
    464,901.37x = 125,655,410,261.34
  5. Step 5: Solve for x
    x = 125,655,410,261.34/464,901.37
  6. Step 6: Final answer
    x = 270,284.02

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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.