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Finding the Fourth Proportional to 500,333.10, 750,639.94 and 201,023.84

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Solution

The fourth proportional to 500,333.10, 750,639.94 and 201,023.84 is: 301,592.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,333.10 : 750,639.94 = 201,023.84 : x
  2. Step 2: Convert to fraction form
    500,333.10/750,639.94 = 201,023.84/x
  3. Step 3: Cross multiply
    500,333.10x = 750,639.94 × 201,023.84
  4. Step 4: Simplify right side
    500,333.10x = 150,896,523,196.17
  5. Step 5: Solve for x
    x = 150,896,523,196.17/500,333.10
  6. Step 6: Final answer
    x = 301,592.13

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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.