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Finding the Fourth Proportional to 473,909.37, 710,908.61 and 174,395.67

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Solution

The fourth proportional to 473,909.37, 710,908.61 and 174,395.67 is: 261,609.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,909.37 : 710,908.61 = 174,395.67 : x
  2. Step 2: Convert to fraction form
    473,909.37/710,908.61 = 174,395.67/x
  3. Step 3: Cross multiply
    473,909.37x = 710,908.61 × 174,395.67
  4. Step 4: Simplify right side
    473,909.37x = 123,979,382,477.74
  5. Step 5: Solve for x
    x = 123,979,382,477.74/473,909.37
  6. Step 6: Final answer
    x = 261,609.90

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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.