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Finding the Fourth Proportional to 546,710.54, 820,062.32 and 186,707.69

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Solution

The fourth proportional to 546,710.54, 820,062.32 and 186,707.69 is: 280,060.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,710.54 : 820,062.32 = 186,707.69 : x
  2. Step 2: Convert to fraction form
    546,710.54/820,062.32 = 186,707.69/x
  3. Step 3: Cross multiply
    546,710.54x = 820,062.32 × 186,707.69
  4. Step 4: Simplify right side
    546,710.54x = 153,111,936,389.39
  5. Step 5: Solve for x
    x = 153,111,936,389.39/546,710.54
  6. Step 6: Final answer
    x = 280,060.34

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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.