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Finding the Fourth Proportional to 602,971.12, 832,058.52 and 334,678

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Solution

The fourth proportional to 602,971.12, 832,058.52 and 334,678 is: 461,832.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,971.12 : 832,058.52 = 334,678 : x
  2. Step 2: Convert to fraction form
    602,971.12/832,058.52 = 334,678/x
  3. Step 3: Cross multiply
    602,971.12x = 832,058.52 × 334,678
  4. Step 4: Simplify right side
    602,971.12x = 278,471,681,356.56
  5. Step 5: Solve for x
    x = 278,471,681,356.56/602,971.12
  6. Step 6: Final answer
    x = 461,832.54

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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.