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Finding the Fourth Proportional to 1,216,352.80, 1,821,904.80 and 1,006,400.80

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Solution

The fourth proportional to 1,216,352.80, 1,821,904.80 and 1,006,400.80 is: 1,507,429.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216,352.80 : 1,821,904.80 = 1,006,400.80 : x
  2. Step 2: Convert to fraction form
    1,216,352.80/1,821,904.80 = 1,006,400.80/x
  3. Step 3: Cross multiply
    1,216,352.80x = 1,821,904.80 × 1,006,400.80
  4. Step 4: Simplify right side
    1,216,352.80x = 1,833,566,448,243.84
  5. Step 5: Solve for x
    x = 1,833,566,448,243.84/1,216,352.80
  6. Step 6: Final answer
    x = 1,507,429.79

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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.