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Finding the Fourth Proportional to 462,103.75, 637,680.21 and 258,114.01

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Solution

The fourth proportional to 462,103.75, 637,680.21 and 258,114.01 is: 356,184.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,103.75 : 637,680.21 = 258,114.01 : x
  2. Step 2: Convert to fraction form
    462,103.75/637,680.21 = 258,114.01/x
  3. Step 3: Cross multiply
    462,103.75x = 637,680.21 × 258,114.01
  4. Step 4: Simplify right side
    462,103.75x = 164,594,196,100.74
  5. Step 5: Solve for x
    x = 164,594,196,100.74/462,103.75
  6. Step 6: Final answer
    x = 356,184.51

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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.