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Finding the Fourth Proportional to 457,164.44, 685,856.10 and 190,776.74

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Solution

The fourth proportional to 457,164.44, 685,856.10 and 190,776.74 is: 286,210.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,164.44 : 685,856.10 = 190,776.74 : x
  2. Step 2: Convert to fraction form
    457,164.44/685,856.10 = 190,776.74/x
  3. Step 3: Cross multiply
    457,164.44x = 685,856.10 × 190,776.74
  4. Step 4: Simplify right side
    457,164.44x = 130,845,390,867.11
  5. Step 5: Solve for x
    x = 130,845,390,867.11/457,164.44
  6. Step 6: Final answer
    x = 286,210.78

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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.