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Finding the Fourth Proportional to 505,045.66, 697,108.76 and 298,505.38

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Solution

The fourth proportional to 505,045.66, 697,108.76 and 298,505.38 is: 412,023.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,045.66 : 697,108.76 = 298,505.38 : x
  2. Step 2: Convert to fraction form
    505,045.66/697,108.76 = 298,505.38/x
  3. Step 3: Cross multiply
    505,045.66x = 697,108.76 × 298,505.38
  4. Step 4: Simplify right side
    505,045.66x = 208,090,713,189.23
  5. Step 5: Solve for x
    x = 208,090,713,189.23/505,045.66
  6. Step 6: Final answer
    x = 412,023.57

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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.