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Finding the Fourth Proportional to 769,706.16, 1,062,196.04 and 430,174.40

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Solution

The fourth proportional to 769,706.16, 1,062,196.04 and 430,174.40 is: 593,641.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,706.16 : 1,062,196.04 = 430,174.40 : x
  2. Step 2: Convert to fraction form
    769,706.16/1,062,196.04 = 430,174.40/x
  3. Step 3: Cross multiply
    769,706.16x = 1,062,196.04 × 430,174.40
  4. Step 4: Simplify right side
    769,706.16x = 456,929,544,189.38
  5. Step 5: Solve for x
    x = 456,929,544,189.38/769,706.16
  6. Step 6: Final answer
    x = 593,641.53

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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.