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Finding the Fourth Proportional to 485,688.96, 727,433.28 and 260,657.28

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Solution

The fourth proportional to 485,688.96, 727,433.28 and 260,657.28 is: 390,395.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,688.96 : 727,433.28 = 260,657.28 : x
  2. Step 2: Convert to fraction form
    485,688.96/727,433.28 = 260,657.28/x
  3. Step 3: Cross multiply
    485,688.96x = 727,433.28 × 260,657.28
  4. Step 4: Simplify right side
    485,688.96x = 189,610,780,146.28
  5. Step 5: Solve for x
    x = 189,610,780,146.28/485,688.96
  6. Step 6: Final answer
    x = 390,395.49

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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.