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Finding the Fourth Proportional to 421,669.02, 632,783.67 and 197,046.84

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Solution

The fourth proportional to 421,669.02, 632,783.67 and 197,046.84 is: 295,701.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,669.02 : 632,783.67 = 197,046.84 : x
  2. Step 2: Convert to fraction form
    421,669.02/632,783.67 = 197,046.84/x
  3. Step 3: Cross multiply
    421,669.02x = 632,783.67 × 197,046.84
  4. Step 4: Simplify right side
    421,669.02x = 124,688,022,577.10
  5. Step 5: Solve for x
    x = 124,688,022,577.10/421,669.02
  6. Step 6: Final answer
    x = 295,701.17

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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.