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Finding the Fourth Proportional to 282,416.40, 422,924.76 and 157,494.96

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Solution

The fourth proportional to 282,416.40, 422,924.76 and 157,494.96 is: 235,852.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,416.40 : 422,924.76 = 157,494.96 : x
  2. Step 2: Convert to fraction form
    282,416.40/422,924.76 = 157,494.96/x
  3. Step 3: Cross multiply
    282,416.40x = 422,924.76 × 157,494.96
  4. Step 4: Simplify right side
    282,416.40x = 66,608,518,159.21
  5. Step 5: Solve for x
    x = 66,608,518,159.21/282,416.40
  6. Step 6: Final answer
    x = 235,852.16

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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.