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Finding the Fourth Proportional to 232,465.80, 348,698.70 and 164,559.45

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Solution

The fourth proportional to 232,465.80, 348,698.70 and 164,559.45 is: 246,839.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,465.80 : 348,698.70 = 164,559.45 : x
  2. Step 2: Convert to fraction form
    232,465.80/348,698.70 = 164,559.45/x
  3. Step 3: Cross multiply
    232,465.80x = 348,698.70 × 164,559.45
  4. Step 4: Simplify right side
    232,465.80x = 57,381,666,287.72
  5. Step 5: Solve for x
    x = 57,381,666,287.72/232,465.80
  6. Step 6: Final answer
    x = 246,839.18

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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.