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Finding the Fourth Proportional to 384,005.80, 576,008.70 and 218,117.80

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Solution

The fourth proportional to 384,005.80, 576,008.70 and 218,117.80 is: 327,176.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,005.80 : 576,008.70 = 218,117.80 : x
  2. Step 2: Convert to fraction form
    384,005.80/576,008.70 = 218,117.80/x
  3. Step 3: Cross multiply
    384,005.80x = 576,008.70 × 218,117.80
  4. Step 4: Simplify right side
    384,005.80x = 125,637,750,424.86
  5. Step 5: Solve for x
    x = 125,637,750,424.86/384,005.80
  6. Step 6: Final answer
    x = 327,176.70

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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.