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Finding the Fourth Proportional to 316,853.64, 474,946.20 and 117,046.08

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Solution

The fourth proportional to 316,853.64, 474,946.20 and 117,046.08 is: 175,445.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,853.64 : 474,946.20 = 117,046.08 : x
  2. Step 2: Convert to fraction form
    316,853.64/474,946.20 = 117,046.08/x
  3. Step 3: Cross multiply
    316,853.64x = 474,946.20 × 117,046.08
  4. Step 4: Simplify right side
    316,853.64x = 55,590,590,920.90
  5. Step 5: Solve for x
    x = 55,590,590,920.90/316,853.64
  6. Step 6: Final answer
    x = 175,445.64

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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.