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Finding the Fourth Proportional to 597,750.84, 824,885.37 and 343,081.98

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Solution

The fourth proportional to 597,750.84, 824,885.37 and 343,081.98 is: 473,446.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,750.84 : 824,885.37 = 343,081.98 : x
  2. Step 2: Convert to fraction form
    597,750.84/824,885.37 = 343,081.98/x
  3. Step 3: Cross multiply
    597,750.84x = 824,885.37 × 343,081.98
  4. Step 4: Simplify right side
    597,750.84x = 283,003,306,012.63
  5. Step 5: Solve for x
    x = 283,003,306,012.63/597,750.84
  6. Step 6: Final answer
    x = 473,446.94

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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.