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Finding the Fourth Proportional to 645,492.70, 968,109.45 and 308,532.70

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Solution

The fourth proportional to 645,492.70, 968,109.45 and 308,532.70 is: 462,737.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,492.70 : 968,109.45 = 308,532.70 : x
  2. Step 2: Convert to fraction form
    645,492.70/968,109.45 = 308,532.70/x
  3. Step 3: Cross multiply
    645,492.70x = 968,109.45 × 308,532.70
  4. Step 4: Simplify right side
    645,492.70x = 298,693,422,504.02
  5. Step 5: Solve for x
    x = 298,693,422,504.02/645,492.70
  6. Step 6: Final answer
    x = 462,737.10

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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.