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Finding the Fourth Proportional to 410,141.25, 565,904.25 and 237,959.46

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Solution

The fourth proportional to 410,141.25, 565,904.25 and 237,959.46 is: 328,331.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,141.25 : 565,904.25 = 237,959.46 : x
  2. Step 2: Convert to fraction form
    410,141.25/565,904.25 = 237,959.46/x
  3. Step 3: Cross multiply
    410,141.25x = 565,904.25 × 237,959.46
  4. Step 4: Simplify right side
    410,141.25x = 134,662,269,741.71
  5. Step 5: Solve for x
    x = 134,662,269,741.71/410,141.25
  6. Step 6: Final answer
    x = 328,331.45

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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.