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Finding the Fourth Proportional to 578,022.60, 809,784.60 and 578,022.60

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Solution

The fourth proportional to 578,022.60, 809,784.60 and 578,022.60 is: 809,784.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,022.60 : 809,784.60 = 578,022.60 : x
  2. Step 2: Convert to fraction form
    578,022.60/809,784.60 = 578,022.60/x
  3. Step 3: Cross multiply
    578,022.60x = 809,784.60 × 578,022.60
  4. Step 4: Simplify right side
    578,022.60x = 468,073,799,931.96
  5. Step 5: Solve for x
    x = 468,073,799,931.96/578,022.60
  6. Step 6: Final answer
    x = 809,784.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.