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Finding the Fourth Proportional to 343,054.46, 473,646.18 and 214,189.13

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Solution

The fourth proportional to 343,054.46, 473,646.18 and 214,189.13 is: 295,725.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,054.46 : 473,646.18 = 214,189.13 : x
  2. Step 2: Convert to fraction form
    343,054.46/473,646.18 = 214,189.13/x
  3. Step 3: Cross multiply
    343,054.46x = 473,646.18 × 214,189.13
  4. Step 4: Simplify right side
    343,054.46x = 101,449,863,222.02
  5. Step 5: Solve for x
    x = 101,449,863,222.02/343,054.46
  6. Step 6: Final answer
    x = 295,725.24

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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.