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Finding the Fourth Proportional to 426,988.64, 589,246.64 and 233,396.61

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Solution

The fourth proportional to 426,988.64, 589,246.64 and 233,396.61 is: 322,088.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,988.64 : 589,246.64 = 233,396.61 : x
  2. Step 2: Convert to fraction form
    426,988.64/589,246.64 = 233,396.61/x
  3. Step 3: Cross multiply
    426,988.64x = 589,246.64 × 233,396.61
  4. Step 4: Simplify right side
    426,988.64x = 137,528,167,062.91
  5. Step 5: Solve for x
    x = 137,528,167,062.91/426,988.64
  6. Step 6: Final answer
    x = 322,088.59

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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.