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Finding the Fourth Proportional to 517,802.76, 776,890.44 and 180,892.98

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Solution

The fourth proportional to 517,802.76, 776,890.44 and 180,892.98 is: 271,404.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,802.76 : 776,890.44 = 180,892.98 : x
  2. Step 2: Convert to fraction form
    517,802.76/776,890.44 = 180,892.98/x
  3. Step 3: Cross multiply
    517,802.76x = 776,890.44 × 180,892.98
  4. Step 4: Simplify right side
    517,802.76x = 140,534,026,825.11
  5. Step 5: Solve for x
    x = 140,534,026,825.11/517,802.76
  6. Step 6: Final answer
    x = 271,404.55

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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.