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Finding the Fourth Proportional to 375,901.54, 518,242.26 and 298,633.54

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Solution

The fourth proportional to 375,901.54, 518,242.26 and 298,633.54 is: 411,715.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,901.54 : 518,242.26 = 298,633.54 : x
  2. Step 2: Convert to fraction form
    375,901.54/518,242.26 = 298,633.54/x
  3. Step 3: Cross multiply
    375,901.54x = 518,242.26 × 298,633.54
  4. Step 4: Simplify right side
    375,901.54x = 154,764,520,681.40
  5. Step 5: Solve for x
    x = 154,764,520,681.40/375,901.54
  6. Step 6: Final answer
    x = 411,715.58

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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.