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Finding the Fourth Proportional to 547,768.40, 822,430.20 and 337,816.40

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Solution

The fourth proportional to 547,768.40, 822,430.20 and 337,816.40 is: 507,204.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,768.40 : 822,430.20 = 337,816.40 : x
  2. Step 2: Convert to fraction form
    547,768.40/822,430.20 = 337,816.40/x
  3. Step 3: Cross multiply
    547,768.40x = 822,430.20 × 337,816.40
  4. Step 4: Simplify right side
    547,768.40x = 277,830,409,415.28
  5. Step 5: Solve for x
    x = 277,830,409,415.28/547,768.40
  6. Step 6: Final answer
    x = 507,204.16

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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.