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Finding the Fourth Proportional to 427,466.32, 589,885.80 and 233,873.08

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Solution

The fourth proportional to 427,466.32, 589,885.80 and 233,873.08 is: 322,735.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,466.32 : 589,885.80 = 233,873.08 : x
  2. Step 2: Convert to fraction form
    427,466.32/589,885.80 = 233,873.08/x
  3. Step 3: Cross multiply
    427,466.32x = 589,885.80 × 233,873.08
  4. Step 4: Simplify right side
    427,466.32x = 137,958,408,894.26
  5. Step 5: Solve for x
    x = 137,958,408,894.26/427,466.32
  6. Step 6: Final answer
    x = 322,735.15

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1.5x scale

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.