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Finding the Fourth Proportional to 410,436.72, 616,033.52 and 208,174.76

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Solution

The fourth proportional to 410,436.72, 616,033.52 and 208,174.76 is: 312,454.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,436.72 : 616,033.52 = 208,174.76 : x
  2. Step 2: Convert to fraction form
    410,436.72/616,033.52 = 208,174.76/x
  3. Step 3: Cross multiply
    410,436.72x = 616,033.52 × 208,174.76
  4. Step 4: Simplify right side
    410,436.72x = 128,242,630,177.96
  5. Step 5: Solve for x
    x = 128,242,630,177.96/410,436.72
  6. Step 6: Final answer
    x = 312,454.09

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1.5x scale

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.