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Finding the Fourth Proportional to 475,853.66, 656,702.16 and 261,013.76

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Solution

The fourth proportional to 475,853.66, 656,702.16 and 261,013.76 is: 360,212.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,853.66 : 656,702.16 = 261,013.76 : x
  2. Step 2: Convert to fraction form
    475,853.66/656,702.16 = 261,013.76/x
  3. Step 3: Cross multiply
    475,853.66x = 656,702.16 × 261,013.76
  4. Step 4: Simplify right side
    475,853.66x = 171,408,300,970.94
  5. Step 5: Solve for x
    x = 171,408,300,970.94/475,853.66
  6. Step 6: Final answer
    x = 360,212.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.