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Finding the Fourth Proportional to 602,058.28, 830,849.79 and 330,151

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Solution

The fourth proportional to 602,058.28, 830,849.79 and 330,151 is: 455,613.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,058.28 : 830,849.79 = 330,151 : x
  2. Step 2: Convert to fraction form
    602,058.28/830,849.79 = 330,151/x
  3. Step 3: Cross multiply
    602,058.28x = 830,849.79 × 330,151
  4. Step 4: Simplify right side
    602,058.28x = 274,305,889,018.29
  5. Step 5: Solve for x
    x = 274,305,889,018.29/602,058.28
  6. Step 6: Final answer
    x = 455,613.51

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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.