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Finding the Fourth Proportional to 342,884.66, 473,412.02 and 214,019.42

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Solution

The fourth proportional to 342,884.66, 473,412.02 and 214,019.42 is: 295,491.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,884.66 : 473,412.02 = 214,019.42 : x
  2. Step 2: Convert to fraction form
    342,884.66/473,412.02 = 214,019.42/x
  3. Step 3: Cross multiply
    342,884.66x = 473,412.02 × 214,019.42
  4. Step 4: Simplify right side
    342,884.66x = 101,319,366,054.86
  5. Step 5: Solve for x
    x = 101,319,366,054.86/342,884.66
  6. Step 6: Final answer
    x = 295,491.11

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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.