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Finding the Fourth Proportional to 343,222.24, 473,877.36 and 214,356.64

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Solution

The fourth proportional to 343,222.24, 473,877.36 and 214,356.64 is: 295,956.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,222.24 : 473,877.36 = 214,356.64 : x
  2. Step 2: Convert to fraction form
    343,222.24/473,877.36 = 214,356.64/x
  3. Step 3: Cross multiply
    343,222.24x = 473,877.36 × 214,356.64
  4. Step 4: Simplify right side
    343,222.24x = 101,578,758,661.67
  5. Step 5: Solve for x
    x = 101,578,758,661.67/343,222.24
  6. Step 6: Final answer
    x = 295,956.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.