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Finding the Fourth Proportional to 655,361.64, 983,097 and 175,657.68

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Solution

The fourth proportional to 655,361.64, 983,097 and 175,657.68 is: 263,501.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,361.64 : 983,097 = 175,657.68 : x
  2. Step 2: Convert to fraction form
    655,361.64/983,097 = 175,657.68/x
  3. Step 3: Cross multiply
    655,361.64x = 983,097 × 175,657.68
  4. Step 4: Simplify right side
    655,361.64x = 172,688,538,234.96
  5. Step 5: Solve for x
    x = 172,688,538,234.96/655,361.64
  6. Step 6: Final answer
    x = 263,501.14

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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.