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Finding the Fourth Proportional to 383,024, 574,536 and 102,534.32

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Solution

The fourth proportional to 383,024, 574,536 and 102,534.32 is: 153,801.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,024 : 574,536 = 102,534.32 : x
  2. Step 2: Convert to fraction form
    383,024/574,536 = 102,534.32/x
  3. Step 3: Cross multiply
    383,024x = 574,536 × 102,534.32
  4. Step 4: Simplify right side
    383,024x = 58,909,658,075.52
  5. Step 5: Solve for x
    x = 58,909,658,075.52/383,024
  6. Step 6: Final answer
    x = 153,801.48

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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.