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Finding the Fourth Proportional to 307,768.40, 461,695.80 and 97,384.40

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Solution

The fourth proportional to 307,768.40, 461,695.80 and 97,384.40 is: 146,090.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,768.40 : 461,695.80 = 97,384.40 : x
  2. Step 2: Convert to fraction form
    307,768.40/461,695.80 = 97,384.40/x
  3. Step 3: Cross multiply
    307,768.40x = 461,695.80 × 97,384.40
  4. Step 4: Simplify right side
    307,768.40x = 44,961,968,465.52
  5. Step 5: Solve for x
    x = 44,961,968,465.52/307,768.40
  6. Step 6: Final answer
    x = 146,090.27

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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.