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Finding the Fourth Proportional to 384,033.02, 575,980.29 and 103,484.78

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Solution

The fourth proportional to 384,033.02, 575,980.29 and 103,484.78 is: 155,208.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,033.02 : 575,980.29 = 103,484.78 : x
  2. Step 2: Convert to fraction form
    384,033.02/575,980.29 = 103,484.78/x
  3. Step 3: Cross multiply
    384,033.02x = 575,980.29 × 103,484.78
  4. Step 4: Simplify right side
    384,033.02x = 59,605,193,594.99
  5. Step 5: Solve for x
    x = 59,605,193,594.99/384,033.02
  6. Step 6: Final answer
    x = 155,208.51

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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.