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Finding the Fourth Proportional to 594,291.42, 820,117.31 and 322,358.63

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Solution

The fourth proportional to 594,291.42, 820,117.31 and 322,358.63 is: 444,852.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,291.42 : 820,117.31 = 322,358.63 : x
  2. Step 2: Convert to fraction form
    594,291.42/820,117.31 = 322,358.63/x
  3. Step 3: Cross multiply
    594,291.42x = 820,117.31 × 322,358.63
  4. Step 4: Simplify right side
    594,291.42x = 264,371,892,490.89
  5. Step 5: Solve for x
    x = 264,371,892,490.89/594,291.42
  6. Step 6: Final answer
    x = 444,852.28

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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.