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Finding the Fourth Proportional to 412,729.10, 578,214.40 and 412,729.10

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Solution

The fourth proportional to 412,729.10, 578,214.40 and 412,729.10 is: 578,214.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,729.10 : 578,214.40 = 412,729.10 : x
  2. Step 2: Convert to fraction form
    412,729.10/578,214.40 = 412,729.10/x
  3. Step 3: Cross multiply
    412,729.10x = 578,214.40 × 412,729.10
  4. Step 4: Simplify right side
    412,729.10x = 238,645,908,919.04
  5. Step 5: Solve for x
    x = 238,645,908,919.04/412,729.10
  6. Step 6: Final answer
    x = 578,214.40

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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.