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Finding the Fourth Proportional to 462,342.74, 693,570.14 and 162,762.01

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Solution

The fourth proportional to 462,342.74, 693,570.14 and 162,762.01 is: 244,162.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,342.74 : 693,570.14 = 162,762.01 : x
  2. Step 2: Convert to fraction form
    462,342.74/693,570.14 = 162,762.01/x
  3. Step 3: Cross multiply
    462,342.74x = 693,570.14 × 162,762.01
  4. Step 4: Simplify right side
    462,342.74x = 112,886,869,040.54
  5. Step 5: Solve for x
    x = 112,886,869,040.54/462,342.74
  6. Step 6: Final answer
    x = 244,162.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.