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Finding the Fourth Proportional to 242,000.10, 363,000.15 and 232,814.70

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Solution

The fourth proportional to 242,000.10, 363,000.15 and 232,814.70 is: 349,222.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,000.10 : 363,000.15 = 232,814.70 : x
  2. Step 2: Convert to fraction form
    242,000.10/363,000.15 = 232,814.70/x
  3. Step 3: Cross multiply
    242,000.10x = 363,000.15 × 232,814.70
  4. Step 4: Simplify right side
    242,000.10x = 84,511,771,022.21
  5. Step 5: Solve for x
    x = 84,511,771,022.21/242,000.10
  6. Step 6: Final answer
    x = 349,222.05

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1.5x scale

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.