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Finding the Fourth Proportional to 487,824.56, 730,978.26 and 338,356.88

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Solution

The fourth proportional to 487,824.56, 730,978.26 and 338,356.88 is: 507,009.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,824.56 : 730,978.26 = 338,356.88 : x
  2. Step 2: Convert to fraction form
    487,824.56/730,978.26 = 338,356.88/x
  3. Step 3: Cross multiply
    487,824.56x = 730,978.26 × 338,356.88
  4. Step 4: Simplify right side
    487,824.56x = 247,331,519,746.54
  5. Step 5: Solve for x
    x = 247,331,519,746.54/487,824.56
  6. Step 6: Final answer
    x = 507,009.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.