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Finding the Fourth Proportional to 382,498.60, 573,223.02 and 242,005.72

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Solution

The fourth proportional to 382,498.60, 573,223.02 and 242,005.72 is: 362,676.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,498.60 : 573,223.02 = 242,005.72 : x
  2. Step 2: Convert to fraction form
    382,498.60/573,223.02 = 242,005.72/x
  3. Step 3: Cross multiply
    382,498.60x = 573,223.02 × 242,005.72
  4. Step 4: Simplify right side
    382,498.60x = 138,723,248,465.65
  5. Step 5: Solve for x
    x = 138,723,248,465.65/382,498.60
  6. Step 6: Final answer
    x = 362,676.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.