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Finding the Fourth Proportional to 446,264.96, 615,423.42 and 293,032.80

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Solution

The fourth proportional to 446,264.96, 615,423.42 and 293,032.80 is: 404,108.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,264.96 : 615,423.42 = 293,032.80 : x
  2. Step 2: Convert to fraction form
    446,264.96/615,423.42 = 293,032.80/x
  3. Step 3: Cross multiply
    446,264.96x = 615,423.42 × 293,032.80
  4. Step 4: Simplify right side
    446,264.96x = 180,339,247,948.18
  5. Step 5: Solve for x
    x = 180,339,247,948.18/446,264.96
  6. Step 6: Final answer
    x = 404,108.02

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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.