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Finding the Fourth Proportional to 497,303.74, 745,960.83 and 398,094.61

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Solution

The fourth proportional to 497,303.74, 745,960.83 and 398,094.61 is: 597,146.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,303.74 : 745,960.83 = 398,094.61 : x
  2. Step 2: Convert to fraction form
    497,303.74/745,960.83 = 398,094.61/x
  3. Step 3: Cross multiply
    497,303.74x = 745,960.83 × 398,094.61
  4. Step 4: Simplify right side
    497,303.74x = 296,962,985,694.13
  5. Step 5: Solve for x
    x = 296,962,985,694.13/497,303.74
  6. Step 6: Final answer
    x = 597,146.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.