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Finding the Fourth Proportional to 360,223.29, 497,109.69 and 196,883.10

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Solution

The fourth proportional to 360,223.29, 497,109.69 and 196,883.10 is: 271,699.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,223.29 : 497,109.69 = 196,883.10 : x
  2. Step 2: Convert to fraction form
    360,223.29/497,109.69 = 196,883.10/x
  3. Step 3: Cross multiply
    360,223.29x = 497,109.69 × 196,883.10
  4. Step 4: Simplify right side
    360,223.29x = 97,872,496,807.24
  5. Step 5: Solve for x
    x = 97,872,496,807.24/360,223.29
  6. Step 6: Final answer
    x = 271,699.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.