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Finding the Fourth Proportional to 360,342.24, 497,272 and 217,108.32

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Solution

The fourth proportional to 360,342.24, 497,272 and 217,108.32 is: 299,609.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,342.24 : 497,272 = 217,108.32 : x
  2. Step 2: Convert to fraction form
    360,342.24/497,272 = 217,108.32/x
  3. Step 3: Cross multiply
    360,342.24x = 497,272 × 217,108.32
  4. Step 4: Simplify right side
    360,342.24x = 107,961,888,503.04
  5. Step 5: Solve for x
    x = 107,961,888,503.04/360,342.24
  6. Step 6: Final answer
    x = 299,609.31

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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.