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Finding the Fourth Proportional to 524,047.48, 723,164.62 and 297,667.96

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Solution

The fourth proportional to 524,047.48, 723,164.62 and 297,667.96 is: 410,769.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,047.48 : 723,164.62 = 297,667.96 : x
  2. Step 2: Convert to fraction form
    524,047.48/723,164.62 = 297,667.96/x
  3. Step 3: Cross multiply
    524,047.48x = 723,164.62 × 297,667.96
  4. Step 4: Simplify right side
    524,047.48x = 215,262,937,179.58
  5. Step 5: Solve for x
    x = 215,262,937,179.58/524,047.48
  6. Step 6: Final answer
    x = 410,769.91

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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.