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Finding the Fourth Proportional to 427,710.60, 590,200.64 and 255,594.41

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Solution

The fourth proportional to 427,710.60, 590,200.64 and 255,594.41 is: 352,696.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,710.60 : 590,200.64 = 255,594.41 : x
  2. Step 2: Convert to fraction form
    427,710.60/590,200.64 = 255,594.41/x
  3. Step 3: Cross multiply
    427,710.60x = 590,200.64 × 255,594.41
  4. Step 4: Simplify right side
    427,710.60x = 150,851,984,362.42
  5. Step 5: Solve for x
    x = 150,851,984,362.42/427,710.60
  6. Step 6: Final answer
    x = 352,696.39

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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.