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Finding the Fourth Proportional to 468,136.20, 702,204.30 and 461,915.40

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Solution

The fourth proportional to 468,136.20, 702,204.30 and 461,915.40 is: 692,873.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,136.20 : 702,204.30 = 461,915.40 : x
  2. Step 2: Convert to fraction form
    468,136.20/702,204.30 = 461,915.40/x
  3. Step 3: Cross multiply
    468,136.20x = 702,204.30 × 461,915.40
  4. Step 4: Simplify right side
    468,136.20x = 324,358,980,116.22
  5. Step 5: Solve for x
    x = 324,358,980,116.22/468,136.20
  6. Step 6: Final answer
    x = 692,873.10

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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.