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Finding the Fourth Proportional to 614,429.55, 847,916.97 and 342,514.71

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Solution

The fourth proportional to 614,429.55, 847,916.97 and 342,514.71 is: 472,672.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,429.55 : 847,916.97 = 342,514.71 : x
  2. Step 2: Convert to fraction form
    614,429.55/847,916.97 = 342,514.71/x
  3. Step 3: Cross multiply
    614,429.55x = 847,916.97 × 342,514.71
  4. Step 4: Simplify right side
    614,429.55x = 290,424,035,083.63
  5. Step 5: Solve for x
    x = 290,424,035,083.63/614,429.55
  6. Step 6: Final answer
    x = 472,672.64

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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.