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Finding the Fourth Proportional to 291,461.48, 402,237.42 and 162,408.52

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Solution

The fourth proportional to 291,461.48, 402,237.42 and 162,408.52 is: 224,135.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,461.48 : 402,237.42 = 162,408.52 : x
  2. Step 2: Convert to fraction form
    291,461.48/402,237.42 = 162,408.52/x
  3. Step 3: Cross multiply
    291,461.48x = 402,237.42 × 162,408.52
  4. Step 4: Simplify right side
    291,461.48x = 65,326,784,070.82
  5. Step 5: Solve for x
    x = 65,326,784,070.82/291,461.48
  6. Step 6: Final answer
    x = 224,135.22

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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.