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Finding the Fourth Proportional to 340,744.29, 510,461.34 and 190,528.98

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Solution

The fourth proportional to 340,744.29, 510,461.34 and 190,528.98 is: 285,427.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,744.29 : 510,461.34 = 190,528.98 : x
  2. Step 2: Convert to fraction form
    340,744.29/510,461.34 = 190,528.98/x
  3. Step 3: Cross multiply
    340,744.29x = 510,461.34 × 190,528.98
  4. Step 4: Simplify right side
    340,744.29x = 97,257,678,439.63
  5. Step 5: Solve for x
    x = 97,257,678,439.63/340,744.29
  6. Step 6: Final answer
    x = 285,427.17

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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.