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Finding the Fourth Proportional to 556,701.80, 834,438.30 and 307,562.60

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Solution

The fourth proportional to 556,701.80, 834,438.30 and 307,562.60 is: 461,004.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,701.80 : 834,438.30 = 307,562.60 : x
  2. Step 2: Convert to fraction form
    556,701.80/834,438.30 = 307,562.60/x
  3. Step 3: Cross multiply
    556,701.80x = 834,438.30 × 307,562.60
  4. Step 4: Simplify right side
    556,701.80x = 256,642,013,087.58
  5. Step 5: Solve for x
    x = 256,642,013,087.58/556,701.80
  6. Step 6: Final answer
    x = 461,004.46

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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.