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Finding the Fourth Proportional to 364,456.16, 502,950.32 and 203,307.20

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Solution

The fourth proportional to 364,456.16, 502,950.32 and 203,307.20 is: 280,564.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,456.16 : 502,950.32 = 203,307.20 : x
  2. Step 2: Convert to fraction form
    364,456.16/502,950.32 = 203,307.20/x
  3. Step 3: Cross multiply
    364,456.16x = 502,950.32 × 203,307.20
  4. Step 4: Simplify right side
    364,456.16x = 102,253,421,298.30
  5. Step 5: Solve for x
    x = 102,253,421,298.30/364,456.16
  6. Step 6: Final answer
    x = 280,564.39

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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.