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Finding the Fourth Proportional to 473,477.80, 709,295.10 and 285,932.20

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Solution

The fourth proportional to 473,477.80, 709,295.10 and 285,932.20 is: 428,341.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,477.80 : 709,295.10 = 285,932.20 : x
  2. Step 2: Convert to fraction form
    473,477.80/709,295.10 = 285,932.20/x
  3. Step 3: Cross multiply
    473,477.80x = 709,295.10 × 285,932.20
  4. Step 4: Simplify right side
    473,477.80x = 202,810,308,392.22
  5. Step 5: Solve for x
    x = 202,810,308,392.22/473,477.80
  6. Step 6: Final answer
    x = 428,341.75

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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.