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Finding the Fourth Proportional to 576,802.32, 796,337.88 and 395,811.60

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Solution

The fourth proportional to 576,802.32, 796,337.88 and 395,811.60 is: 546,460.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,802.32 : 796,337.88 = 395,811.60 : x
  2. Step 2: Convert to fraction form
    576,802.32/796,337.88 = 395,811.60/x
  3. Step 3: Cross multiply
    576,802.32x = 796,337.88 × 395,811.60
  4. Step 4: Simplify right side
    576,802.32x = 315,199,770,423.41
  5. Step 5: Solve for x
    x = 315,199,770,423.41/576,802.32
  6. Step 6: Final answer
    x = 546,460.65

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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.