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Finding the Fourth Proportional to 417,726.44, 576,762.06 and 256,797.24

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Solution

The fourth proportional to 417,726.44, 576,762.06 and 256,797.24 is: 354,564.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,726.44 : 576,762.06 = 256,797.24 : x
  2. Step 2: Convert to fraction form
    417,726.44/576,762.06 = 256,797.24/x
  3. Step 3: Cross multiply
    417,726.44x = 576,762.06 × 256,797.24
  4. Step 4: Simplify right side
    417,726.44x = 148,110,905,144.71
  5. Step 5: Solve for x
    x = 148,110,905,144.71/417,726.44
  6. Step 6: Final answer
    x = 354,564.35

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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.