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Finding the Fourth Proportional to 462,126.22, 637,764.11 and 258,178.24

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Solution

The fourth proportional to 462,126.22, 637,764.11 and 258,178.24 is: 356,302.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,126.22 : 637,764.11 = 258,178.24 : x
  2. Step 2: Convert to fraction form
    462,126.22/637,764.11 = 258,178.24/x
  3. Step 3: Cross multiply
    462,126.22x = 637,764.11 × 258,178.24
  4. Step 4: Simplify right side
    462,126.22x = 164,656,812,342.03
  5. Step 5: Solve for x
    x = 164,656,812,342.03/462,126.22
  6. Step 6: Final answer
    x = 356,302.69

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1.5x scale

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.