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Finding the Fourth Proportional to 500,492.02, 750,737.84 and 200,972.52

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Solution

The fourth proportional to 500,492.02, 750,737.84 and 200,972.52 is: 301,458.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,492.02 : 750,737.84 = 200,972.52 : x
  2. Step 2: Convert to fraction form
    500,492.02/750,737.84 = 200,972.52/x
  3. Step 3: Cross multiply
    500,492.02x = 750,737.84 × 200,972.52
  4. Step 4: Simplify right side
    500,492.02x = 150,877,675,564.16
  5. Step 5: Solve for x
    x = 150,877,675,564.16/500,492.02
  6. Step 6: Final answer
    x = 301,458.70

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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.