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Finding the Fourth Proportional to 565,161.24, 847,742.28 and 144,437.52

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Solution

The fourth proportional to 565,161.24, 847,742.28 and 144,437.52 is: 216,656.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,161.24 : 847,742.28 = 144,437.52 : x
  2. Step 2: Convert to fraction form
    565,161.24/847,742.28 = 144,437.52/x
  3. Step 3: Cross multiply
    565,161.24x = 847,742.28 × 144,437.52
  4. Step 4: Simplify right side
    565,161.24x = 122,445,792,522.35
  5. Step 5: Solve for x
    x = 122,445,792,522.35/565,161.24
  6. Step 6: Final answer
    x = 216,656.39

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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.