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Finding the Fourth Proportional to 462,113.16, 637,696.14 and 258,163.26

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Solution

The fourth proportional to 462,113.16, 637,696.14 and 258,163.26 is: 356,254.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,113.16 : 637,696.14 = 258,163.26 : x
  2. Step 2: Convert to fraction form
    462,113.16/637,696.14 = 258,163.26/x
  3. Step 3: Cross multiply
    462,113.16x = 637,696.14 × 258,163.26
  4. Step 4: Simplify right side
    462,113.16x = 164,629,714,391.82
  5. Step 5: Solve for x
    x = 164,629,714,391.82/462,113.16
  6. Step 6: Final answer
    x = 356,254.11

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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.