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Finding the Fourth Proportional to 594,672, 820,653.48 and 322,742.22

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Solution

The fourth proportional to 594,672, 820,653.48 and 322,742.22 is: 445,387.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,672 : 820,653.48 = 322,742.22 : x
  2. Step 2: Convert to fraction form
    594,672/820,653.48 = 322,742.22/x
  3. Step 3: Cross multiply
    594,672x = 820,653.48 × 322,742.22
  4. Step 4: Simplify right side
    594,672x = 264,859,525,985.93
  5. Step 5: Solve for x
    x = 264,859,525,985.93/594,672
  6. Step 6: Final answer
    x = 445,387.59

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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.