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Finding the Fourth Proportional to 342,884.88, 473,412.35 and 214,019.66

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Solution

The fourth proportional to 342,884.88, 473,412.35 and 214,019.66 is: 295,491.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,884.88 : 473,412.35 = 214,019.66 : x
  2. Step 2: Convert to fraction form
    342,884.88/473,412.35 = 214,019.66/x
  3. Step 3: Cross multiply
    342,884.88x = 473,412.35 × 214,019.66
  4. Step 4: Simplify right side
    342,884.88x = 101,319,551,905.38
  5. Step 5: Solve for x
    x = 101,319,551,905.38/342,884.88
  6. Step 6: Final answer
    x = 295,491.45

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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.