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Finding the Fourth Proportional to 385,606.80, 578,410.20 and 385,606.80

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Solution

The fourth proportional to 385,606.80, 578,410.20 and 385,606.80 is: 578,410.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,606.80 : 578,410.20 = 385,606.80 : x
  2. Step 2: Convert to fraction form
    385,606.80/578,410.20 = 385,606.80/x
  3. Step 3: Cross multiply
    385,606.80x = 578,410.20 × 385,606.80
  4. Step 4: Simplify right side
    385,606.80x = 223,038,906,309.36
  5. Step 5: Solve for x
    x = 223,038,906,309.36/385,606.80
  6. Step 6: Final answer
    x = 578,410.20

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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.