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Finding the Fourth Proportional to 464,980.34, 697,543.41 and 198,742.25

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Solution

The fourth proportional to 464,980.34, 697,543.41 and 198,742.25 is: 298,144.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,980.34 : 697,543.41 = 198,742.25 : x
  2. Step 2: Convert to fraction form
    464,980.34/697,543.41 = 198,742.25/x
  3. Step 3: Cross multiply
    464,980.34x = 697,543.41 × 198,742.25
  4. Step 4: Simplify right side
    464,980.34x = 138,631,346,776.07
  5. Step 5: Solve for x
    x = 138,631,346,776.07/464,980.34
  6. Step 6: Final answer
    x = 298,144.53

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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.