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Finding the Fourth Proportional to 473,811.48, 710,687.94 and 158,241.96

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Solution

The fourth proportional to 473,811.48, 710,687.94 and 158,241.96 is: 237,353.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,811.48 : 710,687.94 = 158,241.96 : x
  2. Step 2: Convert to fraction form
    473,811.48/710,687.94 = 158,241.96/x
  3. Step 3: Cross multiply
    473,811.48x = 710,687.94 × 158,241.96
  4. Step 4: Simplify right side
    473,811.48x = 112,460,652,573.96
  5. Step 5: Solve for x
    x = 112,460,652,573.96/473,811.48
  6. Step 6: Final answer
    x = 237,353.16

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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.