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Finding the Fourth Proportional to 299,565.58, 413,403.31 and 170,497.72

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Solution

The fourth proportional to 299,565.58, 413,403.31 and 170,497.72 is: 235,288.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,565.58 : 413,403.31 = 170,497.72 : x
  2. Step 2: Convert to fraction form
    299,565.58/413,403.31 = 170,497.72/x
  3. Step 3: Cross multiply
    299,565.58x = 413,403.31 × 170,497.72
  4. Step 4: Simplify right side
    299,565.58x = 70,484,323,466.32
  5. Step 5: Solve for x
    x = 70,484,323,466.32/299,565.58
  6. Step 6: Final answer
    x = 235,288.46

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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.