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Finding the Fourth Proportional to 430,600, 594,228 and 242,184

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Solution

The fourth proportional to 430,600, 594,228 and 242,184 is: 334,213.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,600 : 594,228 = 242,184 : x
  2. Step 2: Convert to fraction form
    430,600/594,228 = 242,184/x
  3. Step 3: Cross multiply
    430,600x = 594,228 × 242,184
  4. Step 4: Simplify right side
    430,600x = 143,912,513,952
  5. Step 5: Solve for x
    x = 143,912,513,952/430,600
  6. Step 6: Final answer
    x = 334,213.92

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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.