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Finding the Fourth Proportional to 428,132.96, 590,885.52 and 258,391.52

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Solution

The fourth proportional to 428,132.96, 590,885.52 and 258,391.52 is: 356,617.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,132.96 : 590,885.52 = 258,391.52 : x
  2. Step 2: Convert to fraction form
    428,132.96/590,885.52 = 258,391.52/x
  3. Step 3: Cross multiply
    428,132.96x = 590,885.52 × 258,391.52
  4. Step 4: Simplify right side
    428,132.96x = 152,679,807,658.79
  5. Step 5: Solve for x
    x = 152,679,807,658.79/428,132.96
  6. Step 6: Final answer
    x = 356,617.74

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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.