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Finding the Fourth Proportional to 519,475.76, 779,291.54 and 182,457

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Solution

The fourth proportional to 519,475.76, 779,291.54 and 182,457 is: 273,712.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,475.76 : 779,291.54 = 182,457 : x
  2. Step 2: Convert to fraction form
    519,475.76/779,291.54 = 182,457/x
  3. Step 3: Cross multiply
    519,475.76x = 779,291.54 × 182,457
  4. Step 4: Simplify right side
    519,475.76x = 142,187,196,285.71
  5. Step 5: Solve for x
    x = 142,187,196,285.71/519,475.76
  6. Step 6: Final answer
    x = 273,712.86

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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.