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Finding the Fourth Proportional to 588,718.15, 883,208.88 and 214,741.15

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Solution

The fourth proportional to 588,718.15, 883,208.88 and 214,741.15 is: 322,159.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,718.15 : 883,208.88 = 214,741.15 : x
  2. Step 2: Convert to fraction form
    588,718.15/883,208.88 = 214,741.15/x
  3. Step 3: Cross multiply
    588,718.15x = 883,208.88 × 214,741.15
  4. Step 4: Simplify right side
    588,718.15x = 189,661,289,507.71
  5. Step 5: Solve for x
    x = 189,661,289,507.71/588,718.15
  6. Step 6: Final answer
    x = 322,159.75

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Why These Related Problems?

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