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Finding the Fourth Proportional to 532,819.68, 735,291.78 and 291,106.32

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Solution

The fourth proportional to 532,819.68, 735,291.78 and 291,106.32 is: 401,727.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,819.68 : 735,291.78 = 291,106.32 : x
  2. Step 2: Convert to fraction form
    532,819.68/735,291.78 = 291,106.32/x
  3. Step 3: Cross multiply
    532,819.68x = 735,291.78 × 291,106.32
  4. Step 4: Simplify right side
    532,819.68x = 214,048,084,202.05
  5. Step 5: Solve for x
    x = 214,048,084,202.05/532,819.68
  6. Step 6: Final answer
    x = 401,727.06

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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.