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Finding the Fourth Proportional to 383,323.20, 575,095.74 and 158,642.16

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Solution

The fourth proportional to 383,323.20, 575,095.74 and 158,642.16 is: 238,009.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,323.20 : 575,095.74 = 158,642.16 : x
  2. Step 2: Convert to fraction form
    383,323.20/575,095.74 = 158,642.16/x
  3. Step 3: Cross multiply
    383,323.20x = 575,095.74 × 158,642.16
  4. Step 4: Simplify right side
    383,323.20x = 91,234,430,400.40
  5. Step 5: Solve for x
    x = 91,234,430,400.40/383,323.20
  6. Step 6: Final answer
    x = 238,009.15

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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.