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Finding the Fourth Proportional to 383,714.09, 575,970.35 and 282,626.28

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Solution

The fourth proportional to 383,714.09, 575,970.35 and 282,626.28 is: 424,233.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,714.09 : 575,970.35 = 282,626.28 : x
  2. Step 2: Convert to fraction form
    383,714.09/575,970.35 = 282,626.28/x
  3. Step 3: Cross multiply
    383,714.09x = 575,970.35 × 282,626.28
  4. Step 4: Simplify right side
    383,714.09x = 162,784,355,997.67
  5. Step 5: Solve for x
    x = 162,784,355,997.67/383,714.09
  6. Step 6: Final answer
    x = 424,233.47

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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.