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Finding the Fourth Proportional to 462,002.11, 637,556.17 and 258,055.93

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Solution

The fourth proportional to 462,002.11, 637,556.17 and 258,055.93 is: 356,113.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,002.11 : 637,556.17 = 258,055.93 : x
  2. Step 2: Convert to fraction form
    462,002.11/637,556.17 = 258,055.93/x
  3. Step 3: Cross multiply
    462,002.11x = 637,556.17 × 258,055.93
  4. Step 4: Simplify right side
    462,002.11x = 164,525,150,376.59
  5. Step 5: Solve for x
    x = 164,525,150,376.59/462,002.11
  6. Step 6: Final answer
    x = 356,113.42

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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.