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Finding the Fourth Proportional to 423,697.46, 584,700.48 and 230,103.81

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Solution

The fourth proportional to 423,697.46, 584,700.48 and 230,103.81 is: 317,542.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,697.46 : 584,700.48 = 230,103.81 : x
  2. Step 2: Convert to fraction form
    423,697.46/584,700.48 = 230,103.81/x
  3. Step 3: Cross multiply
    423,697.46x = 584,700.48 × 230,103.81
  4. Step 4: Simplify right side
    423,697.46x = 134,541,808,156.83
  5. Step 5: Solve for x
    x = 134,541,808,156.83/423,697.46
  6. Step 6: Final answer
    x = 317,542.17

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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.