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Finding the Fourth Proportional to 334,586.48, 461,730.12 and 183,693.20

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Solution

The fourth proportional to 334,586.48, 461,730.12 and 183,693.20 is: 253,497.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,586.48 : 461,730.12 = 183,693.20 : x
  2. Step 2: Convert to fraction form
    334,586.48/461,730.12 = 183,693.20/x
  3. Step 3: Cross multiply
    334,586.48x = 461,730.12 × 183,693.20
  4. Step 4: Simplify right side
    334,586.48x = 84,816,683,279.18
  5. Step 5: Solve for x
    x = 84,816,683,279.18/334,586.48
  6. Step 6: Final answer
    x = 253,497.04

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Why These Related Problems?

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