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Finding the Fourth Proportional to 343,269.81, 473,740.40 and 190,355.96

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Solution

The fourth proportional to 343,269.81, 473,740.40 and 190,355.96 is: 262,706.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,269.81 : 473,740.40 = 190,355.96 : x
  2. Step 2: Convert to fraction form
    343,269.81/473,740.40 = 190,355.96/x
  3. Step 3: Cross multiply
    343,269.81x = 473,740.40 × 190,355.96
  4. Step 4: Simplify right side
    343,269.81x = 90,179,310,293.02
  5. Step 5: Solve for x
    x = 90,179,310,293.02/343,269.81
  6. Step 6: Final answer
    x = 262,706.79

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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.