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Finding the Fourth Proportional to 523,763.26, 785,690.13 and 144,683.84

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Solution

The fourth proportional to 523,763.26, 785,690.13 and 144,683.84 is: 217,038.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,763.26 : 785,690.13 = 144,683.84 : x
  2. Step 2: Convert to fraction form
    523,763.26/785,690.13 = 144,683.84/x
  3. Step 3: Cross multiply
    523,763.26x = 785,690.13 × 144,683.84
  4. Step 4: Simplify right side
    523,763.26x = 113,676,665,058.50
  5. Step 5: Solve for x
    x = 113,676,665,058.50/523,763.26
  6. Step 6: Final answer
    x = 217,038.26

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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.