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Finding the Fourth Proportional to 499,422.16, 748,783.32 and 183,838.06

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Solution

The fourth proportional to 499,422.16, 748,783.32 and 183,838.06 is: 275,628.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,422.16 : 748,783.32 = 183,838.06 : x
  2. Step 2: Convert to fraction form
    499,422.16/748,783.32 = 183,838.06/x
  3. Step 3: Cross multiply
    499,422.16x = 748,783.32 × 183,838.06
  4. Step 4: Simplify right side
    499,422.16x = 137,654,872,909.16
  5. Step 5: Solve for x
    x = 137,654,872,909.16/499,422.16
  6. Step 6: Final answer
    x = 275,628.28

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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.