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Finding the Fourth Proportional to 412,320.40, 578,078 and 412,320.40

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Solution

The fourth proportional to 412,320.40, 578,078 and 412,320.40 is: 578,078

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,320.40 : 578,078 = 412,320.40 : x
  2. Step 2: Convert to fraction form
    412,320.40/578,078 = 412,320.40/x
  3. Step 3: Cross multiply
    412,320.40x = 578,078 × 412,320.40
  4. Step 4: Simplify right side
    412,320.40x = 238,353,352,191.20
  5. Step 5: Solve for x
    x = 238,353,352,191.20/412,320.40
  6. Step 6: Final answer
    x = 578,078

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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.