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Finding the Fourth Proportional to 462,477.64, 693,712.86 and 237,901

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Solution

The fourth proportional to 462,477.64, 693,712.86 and 237,901 is: 356,849.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,477.64 : 693,712.86 = 237,901 : x
  2. Step 2: Convert to fraction form
    462,477.64/693,712.86 = 237,901/x
  3. Step 3: Cross multiply
    462,477.64x = 693,712.86 × 237,901
  4. Step 4: Simplify right side
    462,477.64x = 165,034,983,106.86
  5. Step 5: Solve for x
    x = 165,034,983,106.86/462,477.64
  6. Step 6: Final answer
    x = 356,849.65

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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.