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Finding the Fourth Proportional to 383,584, 575,355.12 and 117,344.52

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Solution

The fourth proportional to 383,584, 575,355.12 and 117,344.52 is: 176,010.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,584 : 575,355.12 = 117,344.52 : x
  2. Step 2: Convert to fraction form
    383,584/575,355.12 = 117,344.52/x
  3. Step 3: Cross multiply
    383,584x = 575,355.12 × 117,344.52
  4. Step 4: Simplify right side
    383,584x = 67,514,767,509.17
  5. Step 5: Solve for x
    x = 67,514,767,509.17/383,584
  6. Step 6: Final answer
    x = 176,010.38

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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.