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Finding the Fourth Proportional to 314,039.52, 433,276.74 and 178,062.80

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Solution

The fourth proportional to 314,039.52, 433,276.74 and 178,062.80 is: 245,671.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,039.52 : 433,276.74 = 178,062.80 : x
  2. Step 2: Convert to fraction form
    314,039.52/433,276.74 = 178,062.80/x
  3. Step 3: Cross multiply
    314,039.52x = 433,276.74 × 178,062.80
  4. Step 4: Simplify right side
    314,039.52x = 77,150,467,332.89
  5. Step 5: Solve for x
    x = 77,150,467,332.89/314,039.52
  6. Step 6: Final answer
    x = 245,671.21

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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.