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Finding the Fourth Proportional to 426,878.68, 589,094.40 and 233,290.24

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Solution

The fourth proportional to 426,878.68, 589,094.40 and 233,290.24 is: 321,941.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,878.68 : 589,094.40 = 233,290.24 : x
  2. Step 2: Convert to fraction form
    426,878.68/589,094.40 = 233,290.24/x
  3. Step 3: Cross multiply
    426,878.68x = 589,094.40 × 233,290.24
  4. Step 4: Simplify right side
    426,878.68x = 137,429,973,958.66
  5. Step 5: Solve for x
    x = 137,429,973,958.66/426,878.68
  6. Step 6: Final answer
    x = 321,941.53

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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.