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Finding the Fourth Proportional to 595,912.51, 822,341.96 and 337,813.40

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Solution

The fourth proportional to 595,912.51, 822,341.96 and 337,813.40 is: 466,172.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,912.51 : 822,341.96 = 337,813.40 : x
  2. Step 2: Convert to fraction form
    595,912.51/822,341.96 = 337,813.40/x
  3. Step 3: Cross multiply
    595,912.51x = 822,341.96 × 337,813.40
  4. Step 4: Simplify right side
    595,912.51x = 277,798,133,470.26
  5. Step 5: Solve for x
    x = 277,798,133,470.26/595,912.51
  6. Step 6: Final answer
    x = 466,172.68

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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.