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Finding the Fourth Proportional to 325,384.59, 487,962.54 and 97,612.29

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Solution

The fourth proportional to 325,384.59, 487,962.54 and 97,612.29 is: 146,384.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,384.59 : 487,962.54 = 97,612.29 : x
  2. Step 2: Convert to fraction form
    325,384.59/487,962.54 = 97,612.29/x
  3. Step 3: Cross multiply
    325,384.59x = 487,962.54 × 97,612.29
  4. Step 4: Simplify right side
    325,384.59x = 47,631,140,963.62
  5. Step 5: Solve for x
    x = 47,631,140,963.62/325,384.59
  6. Step 6: Final answer
    x = 146,384.13

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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.