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Finding the Fourth Proportional to 333,893.13, 501,498.24 and 286,892.07

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Solution

The fourth proportional to 333,893.13, 501,498.24 and 286,892.07 is: 430,903.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,893.13 : 501,498.24 = 286,892.07 : x
  2. Step 2: Convert to fraction form
    333,893.13/501,498.24 = 286,892.07/x
  3. Step 3: Cross multiply
    333,893.13x = 501,498.24 × 286,892.07
  4. Step 4: Simplify right side
    333,893.13x = 143,875,868,174.96
  5. Step 5: Solve for x
    x = 143,875,868,174.96/333,893.13
  6. Step 6: Final answer
    x = 430,903.95

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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.