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Finding the Fourth Proportional to 462,261.51, 637,908.66 and 258,314.10

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Solution

The fourth proportional to 462,261.51, 637,908.66 and 258,314.10 is: 356,466.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,261.51 : 637,908.66 = 258,314.10 : x
  2. Step 2: Convert to fraction form
    462,261.51/637,908.66 = 258,314.10/x
  3. Step 3: Cross multiply
    462,261.51x = 637,908.66 × 258,314.10
  4. Step 4: Simplify right side
    462,261.51x = 164,780,801,390.11
  5. Step 5: Solve for x
    x = 164,780,801,390.11/462,261.51
  6. Step 6: Final answer
    x = 356,466.63

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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.