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Finding the Fourth Proportional to 462,004.81, 637,559.82 and 258,058.57

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Solution

The fourth proportional to 462,004.81, 637,559.82 and 258,058.57 is: 356,117.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,004.81 : 637,559.82 = 258,058.57 : x
  2. Step 2: Convert to fraction form
    462,004.81/637,559.82 = 258,058.57/x
  3. Step 3: Cross multiply
    462,004.81x = 637,559.82 × 258,058.57
  4. Step 4: Simplify right side
    462,004.81x = 164,527,775,438.66
  5. Step 5: Solve for x
    x = 164,527,775,438.66/462,004.81
  6. Step 6: Final answer
    x = 356,117.02

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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.