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Finding the Fourth Proportional to 346,505.50, 519,965.61 and 149,513.50

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Solution

The fourth proportional to 346,505.50, 519,965.61 and 149,513.50 is: 224,359.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,505.50 : 519,965.61 = 149,513.50 : x
  2. Step 2: Convert to fraction form
    346,505.50/519,965.61 = 149,513.50/x
  3. Step 3: Cross multiply
    346,505.50x = 519,965.61 × 149,513.50
  4. Step 4: Simplify right side
    346,505.50x = 77,741,878,230.74
  5. Step 5: Solve for x
    x = 77,741,878,230.74/346,505.50
  6. Step 6: Final answer
    x = 224,359.72

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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.