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Finding the Fourth Proportional to 458,610.34, 688,037.51 and 159,090.45

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Solution

The fourth proportional to 458,610.34, 688,037.51 and 159,090.45 is: 238,677.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,610.34 : 688,037.51 = 159,090.45 : x
  2. Step 2: Convert to fraction form
    458,610.34/688,037.51 = 159,090.45/x
  3. Step 3: Cross multiply
    458,610.34x = 688,037.51 × 159,090.45
  4. Step 4: Simplify right side
    458,610.34x = 109,460,194,005.48
  5. Step 5: Solve for x
    x = 109,460,194,005.48/458,610.34
  6. Step 6: Final answer
    x = 238,677.99

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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.