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Finding the Fourth Proportional to 427,167.96, 589,492.79 and 233,588.22

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Solution

The fourth proportional to 427,167.96, 589,492.79 and 233,588.22 is: 322,352.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,167.96 : 589,492.79 = 233,588.22 : x
  2. Step 2: Convert to fraction form
    427,167.96/589,492.79 = 233,588.22/x
  3. Step 3: Cross multiply
    427,167.96x = 589,492.79 × 233,588.22
  4. Step 4: Simplify right side
    427,167.96x = 137,698,571,518.93
  5. Step 5: Solve for x
    x = 137,698,571,518.93/427,167.96
  6. Step 6: Final answer
    x = 322,352.29

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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.