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Finding the Fourth Proportional to 314,255.79, 433,682.84 and 178,295.47

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Solution

The fourth proportional to 314,255.79, 433,682.84 and 178,295.47 is: 246,053.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,255.79 : 433,682.84 = 178,295.47 : x
  2. Step 2: Convert to fraction form
    314,255.79/433,682.84 = 178,295.47/x
  3. Step 3: Cross multiply
    314,255.79x = 433,682.84 × 178,295.47
  4. Step 4: Simplify right side
    314,255.79x = 77,323,683,813.05
  5. Step 5: Solve for x
    x = 77,323,683,813.05/314,255.79
  6. Step 6: Final answer
    x = 246,053.33

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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.