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Finding the Fourth Proportional to 412,547.44, 618,864.36 and 175,915.12

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Solution

The fourth proportional to 412,547.44, 618,864.36 and 175,915.12 is: 263,891.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,547.44 : 618,864.36 = 175,915.12 : x
  2. Step 2: Convert to fraction form
    412,547.44/618,864.36 = 175,915.12/x
  3. Step 3: Cross multiply
    412,547.44x = 618,864.36 × 175,915.12
  4. Step 4: Simplify right side
    412,547.44x = 108,867,598,153.12
  5. Step 5: Solve for x
    x = 108,867,598,153.12/412,547.44
  6. Step 6: Final answer
    x = 263,891.10

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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.