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Finding the Fourth Proportional to 532,855.14, 735,331.40 and 291,132.51

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Solution

The fourth proportional to 532,855.14, 735,331.40 and 291,132.51 is: 401,758.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,855.14 : 735,331.40 = 291,132.51 : x
  2. Step 2: Convert to fraction form
    532,855.14/735,331.40 = 291,132.51/x
  3. Step 3: Cross multiply
    532,855.14x = 735,331.40 × 291,132.51
  4. Step 4: Simplify right side
    532,855.14x = 214,078,873,042.41
  5. Step 5: Solve for x
    x = 214,078,873,042.41/532,855.14
  6. Step 6: Final answer
    x = 401,758.11

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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.