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Finding the Fourth Proportional to 532,923.30, 735,412.20 and 291,214.20

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Solution

The fourth proportional to 532,923.30, 735,412.20 and 291,214.20 is: 401,863.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,923.30 : 735,412.20 = 291,214.20 : x
  2. Step 2: Convert to fraction form
    532,923.30/735,412.20 = 291,214.20/x
  3. Step 3: Cross multiply
    532,923.30x = 735,412.20 × 291,214.20
  4. Step 4: Simplify right side
    532,923.30x = 214,162,475,493.24
  5. Step 5: Solve for x
    x = 214,162,475,493.24/532,923.30
  6. Step 6: Final answer
    x = 401,863.60

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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.