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Finding the Fourth Proportional to 423,754.59, 584,785.64 and 230,164.18

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Solution

The fourth proportional to 423,754.59, 584,785.64 and 230,164.18 is: 317,628.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,754.59 : 584,785.64 = 230,164.18 : x
  2. Step 2: Convert to fraction form
    423,754.59/584,785.64 = 230,164.18/x
  3. Step 3: Cross multiply
    423,754.59x = 584,785.64 × 230,164.18
  4. Step 4: Simplify right side
    423,754.59x = 134,596,709,709.24
  5. Step 5: Solve for x
    x = 134,596,709,709.24/423,754.59
  6. Step 6: Final answer
    x = 317,628.91

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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.