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Finding the Fourth Proportional to 474,830.64, 712,244.34 and 194,348.16

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Solution

The fourth proportional to 474,830.64, 712,244.34 and 194,348.16 is: 291,521.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,830.64 : 712,244.34 = 194,348.16 : x
  2. Step 2: Convert to fraction form
    474,830.64/712,244.34 = 194,348.16/x
  3. Step 3: Cross multiply
    474,830.64x = 712,244.34 × 194,348.16
  4. Step 4: Simplify right side
    474,830.64x = 138,423,376,949.41
  5. Step 5: Solve for x
    x = 138,423,376,949.41/474,830.64
  6. Step 6: Final answer
    x = 291,521.58

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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.