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Finding the Fourth Proportional to 465,130.29, 696,678.22 and 329,784.10

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Solution

The fourth proportional to 465,130.29, 696,678.22 and 329,784.10 is: 493,954.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,130.29 : 696,678.22 = 329,784.10 : x
  2. Step 2: Convert to fraction form
    465,130.29/696,678.22 = 329,784.10/x
  3. Step 3: Cross multiply
    465,130.29x = 696,678.22 × 329,784.10
  4. Step 4: Simplify right side
    465,130.29x = 229,753,398,477.63
  5. Step 5: Solve for x
    x = 229,753,398,477.63/465,130.29
  6. Step 6: Final answer
    x = 493,954.93

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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.