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Finding the Fourth Proportional to 546,709.03, 820,060.07 and 186,706.18

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Solution

The fourth proportional to 546,709.03, 820,060.07 and 186,706.18 is: 280,058.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,709.03 : 820,060.07 = 186,706.18 : x
  2. Step 2: Convert to fraction form
    546,709.03/820,060.07 = 186,706.18/x
  3. Step 3: Cross multiply
    546,709.03x = 820,060.07 × 186,706.18
  4. Step 4: Simplify right side
    546,709.03x = 153,110,283,131.78
  5. Step 5: Solve for x
    x = 153,110,283,131.78/546,709.03
  6. Step 6: Final answer
    x = 280,058.08

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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.