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Finding the Fourth Proportional to 307,342.17, 461,095.34 and 96,984.09

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Solution

The fourth proportional to 307,342.17, 461,095.34 and 96,984.09 is: 145,502.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,342.17 : 461,095.34 = 96,984.09 : x
  2. Step 2: Convert to fraction form
    307,342.17/461,095.34 = 96,984.09/x
  3. Step 3: Cross multiply
    307,342.17x = 461,095.34 × 96,984.09
  4. Step 4: Simplify right side
    307,342.17x = 44,718,911,468.22
  5. Step 5: Solve for x
    x = 44,718,911,468.22/307,342.17
  6. Step 6: Final answer
    x = 145,502.04

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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.