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Finding the Fourth Proportional to 538,242.75, 742,809.06 and 296,525.79

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Solution

The fourth proportional to 538,242.75, 742,809.06 and 296,525.79 is: 409,224.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,242.75 : 742,809.06 = 296,525.79 : x
  2. Step 2: Convert to fraction form
    538,242.75/742,809.06 = 296,525.79/x
  3. Step 3: Cross multiply
    538,242.75x = 742,809.06 × 296,525.79
  4. Step 4: Simplify right side
    538,242.75x = 220,262,043,335.66
  5. Step 5: Solve for x
    x = 220,262,043,335.66/538,242.75
  6. Step 6: Final answer
    x = 409,224.36

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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.