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Finding the Fourth Proportional to 264,655.20, 397,152.90 and 146,411.40

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Solution

The fourth proportional to 264,655.20, 397,152.90 and 146,411.40 is: 219,711.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,655.20 : 397,152.90 = 146,411.40 : x
  2. Step 2: Convert to fraction form
    264,655.20/397,152.90 = 146,411.40/x
  3. Step 3: Cross multiply
    264,655.20x = 397,152.90 × 146,411.40
  4. Step 4: Simplify right side
    264,655.20x = 58,147,712,103.06
  5. Step 5: Solve for x
    x = 58,147,712,103.06/264,655.20
  6. Step 6: Final answer
    x = 219,711.20

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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.