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Finding the Fourth Proportional to 769,599, 1,062,069.30 and 430,068.06

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Solution

The fourth proportional to 769,599, 1,062,069.30 and 430,068.06 is: 593,506.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,599 : 1,062,069.30 = 430,068.06 : x
  2. Step 2: Convert to fraction form
    769,599/1,062,069.30 = 430,068.06/x
  3. Step 3: Cross multiply
    769,599x = 1,062,069.30 × 430,068.06
  4. Step 4: Simplify right side
    769,599x = 456,762,083,436.56
  5. Step 5: Solve for x
    x = 456,762,083,436.56/769,599
  6. Step 6: Final answer
    x = 593,506.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.