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Finding the Fourth Proportional to 501,952.68, 692,695.22 and 298,044.32

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Solution

The fourth proportional to 501,952.68, 692,695.22 and 298,044.32 is: 411,301.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,952.68 : 692,695.22 = 298,044.32 : x
  2. Step 2: Convert to fraction form
    501,952.68/692,695.22 = 298,044.32/x
  3. Step 3: Cross multiply
    501,952.68x = 692,695.22 × 298,044.32
  4. Step 4: Simplify right side
    501,952.68x = 206,453,875,812.15
  5. Step 5: Solve for x
    x = 206,453,875,812.15/501,952.68
  6. Step 6: Final answer
    x = 411,301.47

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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.