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Finding the Fourth Proportional to 307,655.10, 461,439.45 and 97,314.30

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Solution

The fourth proportional to 307,655.10, 461,439.45 and 97,314.30 is: 145,957.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,655.10 : 461,439.45 = 97,314.30 : x
  2. Step 2: Convert to fraction form
    307,655.10/461,439.45 = 97,314.30/x
  3. Step 3: Cross multiply
    307,655.10x = 461,439.45 × 97,314.30
  4. Step 4: Simplify right side
    307,655.10x = 44,904,657,069.14
  5. Step 5: Solve for x
    x = 44,904,657,069.14/307,655.10
  6. Step 6: Final answer
    x = 145,957.79

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1.5x scale

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.