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Finding the Fourth Proportional to 546,706.53, 820,056.30 and 186,703.74

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Solution

The fourth proportional to 546,706.53, 820,056.30 and 186,703.74 is: 280,054.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,706.53 : 820,056.30 = 186,703.74 : x
  2. Step 2: Convert to fraction form
    546,706.53/820,056.30 = 186,703.74/x
  3. Step 3: Cross multiply
    546,706.53x = 820,056.30 × 186,703.74
  4. Step 4: Simplify right side
    546,706.53x = 153,107,578,220.56
  5. Step 5: Solve for x
    x = 153,107,578,220.56/546,706.53
  6. Step 6: Final answer
    x = 280,054.42

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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.