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Finding the Fourth Proportional to 461,361.98, 692,038.72 and 145,819.06

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Solution

The fourth proportional to 461,361.98, 692,038.72 and 145,819.06 is: 218,727.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,361.98 : 692,038.72 = 145,819.06 : x
  2. Step 2: Convert to fraction form
    461,361.98/692,038.72 = 145,819.06/x
  3. Step 3: Cross multiply
    461,361.98x = 692,038.72 × 145,819.06
  4. Step 4: Simplify right side
    461,361.98x = 100,912,431,444.71
  5. Step 5: Solve for x
    x = 100,912,431,444.71/461,361.98
  6. Step 6: Final answer
    x = 218,727.24

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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.