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Finding the Fourth Proportional to 410,113.59, 566,236.58 and 265,270.47

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Solution

The fourth proportional to 410,113.59, 566,236.58 and 265,270.47 is: 366,254.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,113.59 : 566,236.58 = 265,270.47 : x
  2. Step 2: Convert to fraction form
    410,113.59/566,236.58 = 265,270.47/x
  3. Step 3: Cross multiply
    410,113.59x = 566,236.58 × 265,270.47
  4. Step 4: Simplify right side
    410,113.59x = 150,205,843,707.79
  5. Step 5: Solve for x
    x = 150,205,843,707.79/410,113.59
  6. Step 6: Final answer
    x = 366,254.25

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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.