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Finding the Fourth Proportional to 423,909.64, 584,993.64 and 242,620.84

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Solution

The fourth proportional to 423,909.64, 584,993.64 and 242,620.84 is: 334,815.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,909.64 : 584,993.64 = 242,620.84 : x
  2. Step 2: Convert to fraction form
    423,909.64/584,993.64 = 242,620.84/x
  3. Step 3: Cross multiply
    423,909.64x = 584,993.64 × 242,620.84
  4. Step 4: Simplify right side
    423,909.64x = 141,931,648,331.46
  5. Step 5: Solve for x
    x = 141,931,648,331.46/423,909.64
  6. Step 6: Final answer
    x = 334,815.81

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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.