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Finding the Fourth Proportional to 546,707.53, 820,057.80 and 186,704.74

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Solution

The fourth proportional to 546,707.53, 820,057.80 and 186,704.74 is: 280,055.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,707.53 : 820,057.80 = 186,704.74 : x
  2. Step 2: Convert to fraction form
    546,707.53/820,057.80 = 186,704.74/x
  3. Step 3: Cross multiply
    546,707.53x = 820,057.80 × 186,704.74
  4. Step 4: Simplify right side
    546,707.53x = 153,108,678,333.97
  5. Step 5: Solve for x
    x = 153,108,678,333.97/546,707.53
  6. Step 6: Final answer
    x = 280,055.92

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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.