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Finding the Fourth Proportional to 363,941, 502,242.18 and 213,041.24

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Solution

The fourth proportional to 363,941, 502,242.18 and 213,041.24 is: 293,999.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,941 : 502,242.18 = 213,041.24 : x
  2. Step 2: Convert to fraction form
    363,941/502,242.18 = 213,041.24/x
  3. Step 3: Cross multiply
    363,941x = 502,242.18 × 213,041.24
  4. Step 4: Simplify right side
    363,941x = 106,998,296,807.50
  5. Step 5: Solve for x
    x = 106,998,296,807.50/363,941
  6. Step 6: Final answer
    x = 293,999.02

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1.5x scale

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.