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Finding the Fourth Proportional to 297,083.16, 445,649.76 and 97,402.32

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Solution

The fourth proportional to 297,083.16, 445,649.76 and 97,402.32 is: 146,111.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,083.16 : 445,649.76 = 97,402.32 : x
  2. Step 2: Convert to fraction form
    297,083.16/445,649.76 = 97,402.32/x
  3. Step 3: Cross multiply
    297,083.16x = 445,649.76 × 97,402.32
  4. Step 4: Simplify right side
    297,083.16x = 43,407,320,531.44
  5. Step 5: Solve for x
    x = 43,407,320,531.44/297,083.16
  6. Step 6: Final answer
    x = 146,111.68

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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.