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Finding the Fourth Proportional to 398,900.07, 598,462.70 and 162,412.47

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Solution

The fourth proportional to 398,900.07, 598,462.70 and 162,412.47 is: 243,664.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,900.07 : 598,462.70 = 162,412.47 : x
  2. Step 2: Convert to fraction form
    398,900.07/598,462.70 = 162,412.47/x
  3. Step 3: Cross multiply
    398,900.07x = 598,462.70 × 162,412.47
  4. Step 4: Simplify right side
    398,900.07x = 97,197,804,497.81
  5. Step 5: Solve for x
    x = 97,197,804,497.81/398,900.07
  6. Step 6: Final answer
    x = 243,664.55

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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.