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Finding the Fourth Proportional to 475,577.96, 656,297.50 and 260,719.54

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Solution

The fourth proportional to 475,577.96, 656,297.50 and 260,719.54 is: 359,792.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,577.96 : 656,297.50 = 260,719.54 : x
  2. Step 2: Convert to fraction form
    475,577.96/656,297.50 = 260,719.54/x
  3. Step 3: Cross multiply
    475,577.96x = 656,297.50 × 260,719.54
  4. Step 4: Simplify right side
    475,577.96x = 171,109,582,303.15
  5. Step 5: Solve for x
    x = 171,109,582,303.15/475,577.96
  6. Step 6: Final answer
    x = 359,792.92

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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.