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Finding the Fourth Proportional to 577,419.84, 796,983.84 and 462,248.64

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Solution

The fourth proportional to 577,419.84, 796,983.84 and 462,248.64 is: 638,018.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,419.84 : 796,983.84 = 462,248.64 : x
  2. Step 2: Convert to fraction form
    577,419.84/796,983.84 = 462,248.64/x
  3. Step 3: Cross multiply
    577,419.84x = 796,983.84 × 462,248.64
  4. Step 4: Simplify right side
    577,419.84x = 368,404,696,141.98
  5. Step 5: Solve for x
    x = 368,404,696,141.98/577,419.84
  6. Step 6: Final answer
    x = 638,018.77

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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.