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Finding the Fourth Proportional to 299,034.60, 411,827.94 and 292,502.76

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Solution

The fourth proportional to 299,034.60, 411,827.94 and 292,502.76 is: 402,832.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,034.60 : 411,827.94 = 292,502.76 : x
  2. Step 2: Convert to fraction form
    299,034.60/411,827.94 = 292,502.76/x
  3. Step 3: Cross multiply
    299,034.60x = 411,827.94 × 292,502.76
  4. Step 4: Simplify right side
    299,034.60x = 120,460,809,095.11
  5. Step 5: Solve for x
    x = 120,460,809,095.11/299,034.60
  6. Step 6: Final answer
    x = 402,832.34

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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.