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Finding the Fourth Proportional to 341,359.11, 470,923.07 and 205,313.13

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Solution

The fourth proportional to 341,359.11, 470,923.07 and 205,313.13 is: 283,240.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,359.11 : 470,923.07 = 205,313.13 : x
  2. Step 2: Convert to fraction form
    341,359.11/470,923.07 = 205,313.13/x
  3. Step 3: Cross multiply
    341,359.11x = 470,923.07 × 205,313.13
  4. Step 4: Simplify right side
    341,359.11x = 96,686,688,464.34
  5. Step 5: Solve for x
    x = 96,686,688,464.34/341,359.11
  6. Step 6: Final answer
    x = 283,240.39

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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.