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Finding the Fourth Proportional to 597,763.32, 824,962.74 and 343,163.64

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Solution

The fourth proportional to 597,763.32, 824,962.74 and 343,163.64 is: 473,594.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,763.32 : 824,962.74 = 343,163.64 : x
  2. Step 2: Convert to fraction form
    597,763.32/824,962.74 = 343,163.64/x
  3. Step 3: Cross multiply
    597,763.32x = 824,962.74 × 343,163.64
  4. Step 4: Simplify right side
    597,763.32x = 283,097,216,722.77
  5. Step 5: Solve for x
    x = 283,097,216,722.77/597,763.32
  6. Step 6: Final answer
    x = 473,594.16

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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.