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Finding the Fourth Proportional to 546,800.64, 820,201.32 and 186,974.15

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Solution

The fourth proportional to 546,800.64, 820,201.32 and 186,974.15 is: 280,461.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,800.64 : 820,201.32 = 186,974.15 : x
  2. Step 2: Convert to fraction form
    546,800.64/820,201.32 = 186,974.15/x
  3. Step 3: Cross multiply
    546,800.64x = 820,201.32 × 186,974.15
  4. Step 4: Simplify right side
    546,800.64x = 153,356,440,534.87
  5. Step 5: Solve for x
    x = 153,356,440,534.87/546,800.64
  6. Step 6: Final answer
    x = 280,461.34

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1.5x scale

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.