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Finding the Fourth Proportional to 585,058, 877,587 and 141,826

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Solution

The fourth proportional to 585,058, 877,587 and 141,826 is: 212,739

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,058 : 877,587 = 141,826 : x
  2. Step 2: Convert to fraction form
    585,058/877,587 = 141,826/x
  3. Step 3: Cross multiply
    585,058x = 877,587 × 141,826
  4. Step 4: Simplify right side
    585,058x = 124,464,653,862
  5. Step 5: Solve for x
    x = 124,464,653,862/585,058
  6. Step 6: Final answer
    x = 212,739

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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.