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Finding the Fourth Proportional to 473,704.91, 709,284.11 and 360,847.52

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Solution

The fourth proportional to 473,704.91, 709,284.11 and 360,847.52 is: 540,301.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,704.91 : 709,284.11 = 360,847.52 : x
  2. Step 2: Convert to fraction form
    473,704.91/709,284.11 = 360,847.52/x
  3. Step 3: Cross multiply
    473,704.91x = 709,284.11 × 360,847.52
  4. Step 4: Simplify right side
    473,704.91x = 255,943,406,718.25
  5. Step 5: Solve for x
    x = 255,943,406,718.25/473,704.91
  6. Step 6: Final answer
    x = 540,301.36

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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.