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Finding the Fourth Proportional to 576,047.86, 864,076.92 and 176,690.50

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Solution

The fourth proportional to 576,047.86, 864,076.92 and 176,690.50 is: 265,037.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,047.86 : 864,076.92 = 176,690.50 : x
  2. Step 2: Convert to fraction form
    576,047.86/864,076.92 = 176,690.50/x
  3. Step 3: Cross multiply
    576,047.86x = 864,076.92 × 176,690.50
  4. Step 4: Simplify right side
    576,047.86x = 152,674,183,033.26
  5. Step 5: Solve for x
    x = 152,674,183,033.26/576,047.86
  6. Step 6: Final answer
    x = 265,037.32

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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.