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Finding the Fourth Proportional to 546,768.80, 820,153.20 and 470,661.20

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Solution

The fourth proportional to 546,768.80, 820,153.20 and 470,661.20 is: 705,991.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,768.80 : 820,153.20 = 470,661.20 : x
  2. Step 2: Convert to fraction form
    546,768.80/820,153.20 = 470,661.20/x
  3. Step 3: Cross multiply
    546,768.80x = 820,153.20 × 470,661.20
  4. Step 4: Simplify right side
    546,768.80x = 386,014,289,295.84
  5. Step 5: Solve for x
    x = 386,014,289,295.84/546,768.80
  6. Step 6: Final answer
    x = 705,991.80

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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.