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Finding the Fourth Proportional to 462,407.08, 638,035.14 and 292,521.64

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Solution

The fourth proportional to 462,407.08, 638,035.14 and 292,521.64 is: 403,625.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,407.08 : 638,035.14 = 292,521.64 : x
  2. Step 2: Convert to fraction form
    462,407.08/638,035.14 = 292,521.64/x
  3. Step 3: Cross multiply
    462,407.08x = 638,035.14 × 292,521.64
  4. Step 4: Simplify right side
    462,407.08x = 186,639,085,530.43
  5. Step 5: Solve for x
    x = 186,639,085,530.43/462,407.08
  6. Step 6: Final answer
    x = 403,625.06

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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.