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Finding the Fourth Proportional to 384,811.80, 577,217.70 and 135,461.40

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Solution

The fourth proportional to 384,811.80, 577,217.70 and 135,461.40 is: 203,192.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,811.80 : 577,217.70 = 135,461.40 : x
  2. Step 2: Convert to fraction form
    384,811.80/577,217.70 = 135,461.40/x
  3. Step 3: Cross multiply
    384,811.80x = 577,217.70 × 135,461.40
  4. Step 4: Simplify right side
    384,811.80x = 78,190,717,746.78
  5. Step 5: Solve for x
    x = 78,190,717,746.78/384,811.80
  6. Step 6: Final answer
    x = 203,192.10

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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.