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Finding the Fourth Proportional to 413,702.72, 620,609.76 and 133,152.32

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Solution

The fourth proportional to 413,702.72, 620,609.76 and 133,152.32 is: 199,746.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,702.72 : 620,609.76 = 133,152.32 : x
  2. Step 2: Convert to fraction form
    413,702.72/620,609.76 = 133,152.32/x
  3. Step 3: Cross multiply
    413,702.72x = 620,609.76 × 133,152.32
  4. Step 4: Simplify right side
    413,702.72x = 82,635,629,358.64
  5. Step 5: Solve for x
    x = 82,635,629,358.64/413,702.72
  6. Step 6: Final answer
    x = 199,746.40

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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.