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Finding the Fourth Proportional to 594,452.14, 820,358.13 and 339,827.02

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Solution

The fourth proportional to 594,452.14, 820,358.13 and 339,827.02 is: 468,969.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,452.14 : 820,358.13 = 339,827.02 : x
  2. Step 2: Convert to fraction form
    594,452.14/820,358.13 = 339,827.02/x
  3. Step 3: Cross multiply
    594,452.14x = 820,358.13 × 339,827.02
  4. Step 4: Simplify right side
    594,452.14x = 278,779,858,650.67
  5. Step 5: Solve for x
    x = 278,779,858,650.67/594,452.14
  6. Step 6: Final answer
    x = 468,969.39

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1.5x scale

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.