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Finding the Fourth Proportional to 540,381.86, 810,586.68 and 256,005.80

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Solution

The fourth proportional to 540,381.86, 810,586.68 and 256,005.80 is: 384,015.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,381.86 : 810,586.68 = 256,005.80 : x
  2. Step 2: Convert to fraction form
    540,381.86/810,586.68 = 256,005.80/x
  3. Step 3: Cross multiply
    540,381.86x = 810,586.68 × 256,005.80
  4. Step 4: Simplify right side
    540,381.86x = 207,514,887,429.81
  5. Step 5: Solve for x
    x = 207,514,887,429.81/540,381.86
  6. Step 6: Final answer
    x = 384,015.28

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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.