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Finding the Fourth Proportional to 291,614.77, 399,803.80 and 286,300.36

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Solution

The fourth proportional to 291,614.77, 399,803.80 and 286,300.36 is: 392,517.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,614.77 : 399,803.80 = 286,300.36 : x
  2. Step 2: Convert to fraction form
    291,614.77/399,803.80 = 286,300.36/x
  3. Step 3: Cross multiply
    291,614.77x = 399,803.80 × 286,300.36
  4. Step 4: Simplify right side
    291,614.77x = 114,463,971,869.37
  5. Step 5: Solve for x
    x = 114,463,971,869.37/291,614.77
  6. Step 6: Final answer
    x = 392,517.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.