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Finding the Fourth Proportional to 430,478.91, 594,880.20 and 322,862.11

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Solution

The fourth proportional to 430,478.91, 594,880.20 and 322,862.11 is: 446,164.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,478.91 : 594,880.20 = 322,862.11 : x
  2. Step 2: Convert to fraction form
    430,478.91/594,880.20 = 322,862.11/x
  3. Step 3: Cross multiply
    430,478.91x = 594,880.20 × 322,862.11
  4. Step 4: Simplify right side
    430,478.91x = 192,064,275,082.02
  5. Step 5: Solve for x
    x = 192,064,275,082.02/430,478.91
  6. Step 6: Final answer
    x = 446,164.19

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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.