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Finding the Fourth Proportional to 475,929.60, 714,153.60 and 195,475.20

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Solution

The fourth proportional to 475,929.60, 714,153.60 and 195,475.20 is: 293,319.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,929.60 : 714,153.60 = 195,475.20 : x
  2. Step 2: Convert to fraction form
    475,929.60/714,153.60 = 195,475.20/x
  3. Step 3: Cross multiply
    475,929.60x = 714,153.60 × 195,475.20
  4. Step 4: Simplify right side
    475,929.60x = 139,599,317,790.72
  5. Step 5: Solve for x
    x = 139,599,317,790.72/475,929.60
  6. Step 6: Final answer
    x = 293,319.26

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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.