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Finding the Fourth Proportional to 462,120.30, 637,662.92 and 258,146.00

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Solution

The fourth proportional to 462,120.30, 637,662.92 and 258,146.00 is: 356,206.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,120.30 : 637,662.92 = 258,146.00 : x
  2. Step 2: Convert to fraction form
    462,120.30/637,662.92 = 258,146.00/x
  3. Step 3: Cross multiply
    462,120.30x = 637,662.92 × 258,146.00
  4. Step 4: Simplify right side
    462,120.30x = 164,610,130,058.51
  5. Step 5: Solve for x
    x = 164,610,130,058.51/462,120.30
  6. Step 6: Final answer
    x = 356,206.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.