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Finding the Fourth Proportional to 364,221.40, 502,564.62 and 203,041.12

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Solution

The fourth proportional to 364,221.40, 502,564.62 and 203,041.12 is: 280,162.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,221.40 : 502,564.62 = 203,041.12 : x
  2. Step 2: Convert to fraction form
    364,221.40/502,564.62 = 203,041.12/x
  3. Step 3: Cross multiply
    364,221.40x = 502,564.62 × 203,041.12
  4. Step 4: Simplify right side
    364,221.40x = 102,041,283,317.17
  5. Step 5: Solve for x
    x = 102,041,283,317.17/364,221.40
  6. Step 6: Final answer
    x = 280,162.79

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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.