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Finding the Fourth Proportional to 472,828.80, 709,243.20 and 367,075.20

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Solution

The fourth proportional to 472,828.80, 709,243.20 and 367,075.20 is: 550,612.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,828.80 : 709,243.20 = 367,075.20 : x
  2. Step 2: Convert to fraction form
    472,828.80/709,243.20 = 367,075.20/x
  3. Step 3: Cross multiply
    472,828.80x = 709,243.20 × 367,075.20
  4. Step 4: Simplify right side
    472,828.80x = 260,345,589,488.64
  5. Step 5: Solve for x
    x = 260,345,589,488.64/472,828.80
  6. Step 6: Final answer
    x = 550,612.80

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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.