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Finding the Fourth Proportional to 471,829.60, 706,707.60 and 409,621.60

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Solution

The fourth proportional to 471,829.60, 706,707.60 and 409,621.60 is: 613,532.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,829.60 : 706,707.60 = 409,621.60 : x
  2. Step 2: Convert to fraction form
    471,829.60/706,707.60 = 409,621.60/x
  3. Step 3: Cross multiply
    471,829.60x = 706,707.60 × 409,621.60
  4. Step 4: Simplify right side
    471,829.60x = 289,482,697,844.16
  5. Step 5: Solve for x
    x = 289,482,697,844.16/471,829.60
  6. Step 6: Final answer
    x = 613,532.30

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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.