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Finding the Fourth Proportional to 360,744.84, 497,809.73 and 197,397.81

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Solution

The fourth proportional to 360,744.84, 497,809.73 and 197,397.81 is: 272,399.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,744.84 : 497,809.73 = 197,397.81 : x
  2. Step 2: Convert to fraction form
    360,744.84/497,809.73 = 197,397.81/x
  3. Step 3: Cross multiply
    360,744.84x = 497,809.73 × 197,397.81
  4. Step 4: Simplify right side
    360,744.84x = 98,266,550,992.19
  5. Step 5: Solve for x
    x = 98,266,550,992.19/360,744.84
  6. Step 6: Final answer
    x = 272,399.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.