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Finding the Fourth Proportional to 517,998.19, 714,809.77 and 285,417.91

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Solution

The fourth proportional to 517,998.19, 714,809.77 and 285,417.91 is: 393,861.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,998.19 : 714,809.77 = 285,417.91 : x
  2. Step 2: Convert to fraction form
    517,998.19/714,809.77 = 285,417.91/x
  3. Step 3: Cross multiply
    517,998.19x = 714,809.77 × 285,417.91
  4. Step 4: Simplify right side
    517,998.19x = 204,019,510,600.98
  5. Step 5: Solve for x
    x = 204,019,510,600.98/517,998.19
  6. Step 6: Final answer
    x = 393,861.44

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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.