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Finding the Fourth Proportional to 384,102.80, 575,981.40 and 173,632.40

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Solution

The fourth proportional to 384,102.80, 575,981.40 and 173,632.40 is: 260,370.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,102.80 : 575,981.40 = 173,632.40 : x
  2. Step 2: Convert to fraction form
    384,102.80/575,981.40 = 173,632.40/x
  3. Step 3: Cross multiply
    384,102.80x = 575,981.40 × 173,632.40
  4. Step 4: Simplify right side
    384,102.80x = 100,009,032,837.36
  5. Step 5: Solve for x
    x = 100,009,032,837.36/384,102.80
  6. Step 6: Final answer
    x = 260,370.49

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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.