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Finding the Fourth Proportional to 383,544.32, 575,316 and 103,061.57

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Solution

The fourth proportional to 383,544.32, 575,316 and 103,061.57 is: 154,592.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,544.32 : 575,316 = 103,061.57 : x
  2. Step 2: Convert to fraction form
    383,544.32/575,316 = 103,061.57/x
  3. Step 3: Cross multiply
    383,544.32x = 575,316 × 103,061.57
  4. Step 4: Simplify right side
    383,544.32x = 59,292,967,329.54
  5. Step 5: Solve for x
    x = 59,292,967,329.54/383,544.32
  6. Step 6: Final answer
    x = 154,592.22

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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.