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Finding the Fourth Proportional to 580,032.63, 800,541.30 and 338,315.21

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Solution

The fourth proportional to 580,032.63, 800,541.30 and 338,315.21 is: 466,931.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,032.63 : 800,541.30 = 338,315.21 : x
  2. Step 2: Convert to fraction form
    580,032.63/800,541.30 = 338,315.21/x
  3. Step 3: Cross multiply
    580,032.63x = 800,541.30 × 338,315.21
  4. Step 4: Simplify right side
    580,032.63x = 270,835,298,023.17
  5. Step 5: Solve for x
    x = 270,835,298,023.17/580,032.63
  6. Step 6: Final answer
    x = 466,931.14

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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.