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Finding the Fourth Proportional to 511,660.48, 705,873.63 and 375,457.76

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Solution

The fourth proportional to 511,660.48, 705,873.63 and 375,457.76 is: 517,971.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,660.48 : 705,873.63 = 375,457.76 : x
  2. Step 2: Convert to fraction form
    511,660.48/705,873.63 = 375,457.76/x
  3. Step 3: Cross multiply
    511,660.48x = 705,873.63 × 375,457.76
  4. Step 4: Simplify right side
    511,660.48x = 265,025,735,135.52
  5. Step 5: Solve for x
    x = 265,025,735,135.52/511,660.48
  6. Step 6: Final answer
    x = 517,971.87

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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.