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Finding the Fourth Proportional to 442,736.16, 663,873.63 and 158,317.08

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Solution

The fourth proportional to 442,736.16, 663,873.63 and 158,317.08 is: 237,393.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,736.16 : 663,873.63 = 158,317.08 : x
  2. Step 2: Convert to fraction form
    442,736.16/663,873.63 = 158,317.08/x
  3. Step 3: Cross multiply
    442,736.16x = 663,873.63 × 158,317.08
  4. Step 4: Simplify right side
    442,736.16x = 105,102,534,590.60
  5. Step 5: Solve for x
    x = 105,102,534,590.60/442,736.16
  6. Step 6: Final answer
    x = 237,393.16

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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.