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Finding the Fourth Proportional to 584,855, 875,286.52 and 490,192.06

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Solution

The fourth proportional to 584,855, 875,286.52 and 490,192.06 is: 733,615.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,855 : 875,286.52 = 490,192.06 : x
  2. Step 2: Convert to fraction form
    584,855/875,286.52 = 490,192.06/x
  3. Step 3: Cross multiply
    584,855x = 875,286.52 × 490,192.06
  4. Step 4: Simplify right side
    584,855x = 429,058,502,329.03
  5. Step 5: Solve for x
    x = 429,058,502,329.03/584,855
  6. Step 6: Final answer
    x = 733,615.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.