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Finding the Fourth Proportional to 314,926.91, 434,590.46 and 171,686.91

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Solution

The fourth proportional to 314,926.91, 434,590.46 and 171,686.91 is: 236,923.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,926.91 : 434,590.46 = 171,686.91 : x
  2. Step 2: Convert to fraction form
    314,926.91/434,590.46 = 171,686.91/x
  3. Step 3: Cross multiply
    314,926.91x = 434,590.46 × 171,686.91
  4. Step 4: Simplify right side
    314,926.91x = 74,613,492,334.44
  5. Step 5: Solve for x
    x = 74,613,492,334.44/314,926.91
  6. Step 6: Final answer
    x = 236,923.21

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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.