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Finding the Fourth Proportional to 462,946.16, 694,443 and 130,548.08

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Solution

The fourth proportional to 462,946.16, 694,443 and 130,548.08 is: 195,828.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,946.16 : 694,443 = 130,548.08 : x
  2. Step 2: Convert to fraction form
    462,946.16/694,443 = 130,548.08/x
  3. Step 3: Cross multiply
    462,946.16x = 694,443 × 130,548.08
  4. Step 4: Simplify right side
    462,946.16x = 90,658,200,319.44
  5. Step 5: Solve for x
    x = 90,658,200,319.44/462,946.16
  6. Step 6: Final answer
    x = 195,828.82

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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.