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Finding the Fourth Proportional to 412,727.10, 578,211.60 and 412,727.10

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Solution

The fourth proportional to 412,727.10, 578,211.60 and 412,727.10 is: 578,211.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,727.10 : 578,211.60 = 412,727.10 : x
  2. Step 2: Convert to fraction form
    412,727.10/578,211.60 = 412,727.10/x
  3. Step 3: Cross multiply
    412,727.10x = 578,211.60 × 412,727.10
  4. Step 4: Simplify right side
    412,727.10x = 238,643,596,854.36
  5. Step 5: Solve for x
    x = 238,643,596,854.36/412,727.10
  6. Step 6: Final answer
    x = 578,211.60

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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.