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Finding the Fourth Proportional to 590,333, 885,499.50 and 196,349

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Solution

The fourth proportional to 590,333, 885,499.50 and 196,349 is: 294,523.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,333 : 885,499.50 = 196,349 : x
  2. Step 2: Convert to fraction form
    590,333/885,499.50 = 196,349/x
  3. Step 3: Cross multiply
    590,333x = 885,499.50 × 196,349
  4. Step 4: Simplify right side
    590,333x = 173,866,941,325.50
  5. Step 5: Solve for x
    x = 173,866,941,325.50/590,333
  6. Step 6: Final answer
    x = 294,523.50

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1.5x scale

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.