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Finding the Fourth Proportional to 585,454, 878,183.16 and 142,222

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Solution

The fourth proportional to 585,454, 878,183.16 and 142,222 is: 213,333.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,454 : 878,183.16 = 142,222 : x
  2. Step 2: Convert to fraction form
    585,454/878,183.16 = 142,222/x
  3. Step 3: Cross multiply
    585,454x = 878,183.16 × 142,222
  4. Step 4: Simplify right side
    585,454x = 124,896,965,381.52
  5. Step 5: Solve for x
    x = 124,896,965,381.52/585,454
  6. Step 6: Final answer
    x = 213,333.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.