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Finding the Fourth Proportional to 384,098.40, 576,190.80 and 117,856.80

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Solution

The fourth proportional to 384,098.40, 576,190.80 and 117,856.80 is: 176,798.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,098.40 : 576,190.80 = 117,856.80 : x
  2. Step 2: Convert to fraction form
    384,098.40/576,190.80 = 117,856.80/x
  3. Step 3: Cross multiply
    384,098.40x = 576,190.80 × 117,856.80
  4. Step 4: Simplify right side
    384,098.40x = 67,908,003,877.44
  5. Step 5: Solve for x
    x = 67,908,003,877.44/384,098.40
  6. Step 6: Final answer
    x = 176,798.46

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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.