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Finding the Fourth Proportional to 507,865.32, 700,715.34 and 316,909.44

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Solution

The fourth proportional to 507,865.32, 700,715.34 and 316,909.44 is: 437,248.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,865.32 : 700,715.34 = 316,909.44 : x
  2. Step 2: Convert to fraction form
    507,865.32/700,715.34 = 316,909.44/x
  3. Step 3: Cross multiply
    507,865.32x = 700,715.34 × 316,909.44
  4. Step 4: Simplify right side
    507,865.32x = 222,063,305,998.81
  5. Step 5: Solve for x
    x = 222,063,305,998.81/507,865.32
  6. Step 6: Final answer
    x = 437,248.41

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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.