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Finding the Fourth Proportional to 346,913.20, 519,592.20 and 284,705.20

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Solution

The fourth proportional to 346,913.20, 519,592.20 and 284,705.20 is: 426,419.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,913.20 : 519,592.20 = 284,705.20 : x
  2. Step 2: Convert to fraction form
    346,913.20/519,592.20 = 284,705.20/x
  3. Step 3: Cross multiply
    346,913.20x = 519,592.20 × 284,705.20
  4. Step 4: Simplify right side
    346,913.20x = 147,930,601,219.44
  5. Step 5: Solve for x
    x = 147,930,601,219.44/346,913.20
  6. Step 6: Final answer
    x = 426,419.64

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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.