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Finding the Fourth Proportional to 412,838.60, 619,373.10 and 202,483.40

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Solution

The fourth proportional to 412,838.60, 619,373.10 and 202,483.40 is: 303,781.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,838.60 : 619,373.10 = 202,483.40 : x
  2. Step 2: Convert to fraction form
    412,838.60/619,373.10 = 202,483.40/x
  3. Step 3: Cross multiply
    412,838.60x = 619,373.10 × 202,483.40
  4. Step 4: Simplify right side
    412,838.60x = 125,412,771,156.54
  5. Step 5: Solve for x
    x = 125,412,771,156.54/412,838.60
  6. Step 6: Final answer
    x = 303,781.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.