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Finding the Fourth Proportional to 768,301.60, 1,152,452.40 and 414,007.60

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Solution

The fourth proportional to 768,301.60, 1,152,452.40 and 414,007.60 is: 621,011.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,301.60 : 1,152,452.40 = 414,007.60 : x
  2. Step 2: Convert to fraction form
    768,301.60/1,152,452.40 = 414,007.60/x
  3. Step 3: Cross multiply
    768,301.60x = 1,152,452.40 × 414,007.60
  4. Step 4: Simplify right side
    768,301.60x = 477,124,052,238.24
  5. Step 5: Solve for x
    x = 477,124,052,238.24/768,301.60
  6. Step 6: Final answer
    x = 621,011.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.