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Finding the Fourth Proportional to 320,479.74, 442,244.05 and 175,256.64

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Solution

The fourth proportional to 320,479.74, 442,244.05 and 175,256.64 is: 241,844.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,479.74 : 442,244.05 = 175,256.64 : x
  2. Step 2: Convert to fraction form
    320,479.74/442,244.05 = 175,256.64/x
  3. Step 3: Cross multiply
    320,479.74x = 442,244.05 × 175,256.64
  4. Step 4: Simplify right side
    320,479.74x = 77,506,205,566.86
  5. Step 5: Solve for x
    x = 77,506,205,566.86/320,479.74
  6. Step 6: Final answer
    x = 241,844.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.