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Finding the Fourth Proportional to 597,751.84, 824,886.75 and 343,082.98

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Solution

The fourth proportional to 597,751.84, 824,886.75 and 343,082.98 is: 473,448.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,751.84 : 824,886.75 = 343,082.98 : x
  2. Step 2: Convert to fraction form
    597,751.84/824,886.75 = 343,082.98/x
  3. Step 3: Cross multiply
    597,751.84x = 824,886.75 × 343,082.98
  4. Step 4: Simplify right side
    597,751.84x = 283,004,604,352.52
  5. Step 5: Solve for x
    x = 283,004,604,352.52/597,751.84
  6. Step 6: Final answer
    x = 473,448.32

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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.