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Finding the Fourth Proportional to 520,857.36, 718,798.32 and 294,498

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Solution

The fourth proportional to 520,857.36, 718,798.32 and 294,498 is: 406,415.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,857.36 : 718,798.32 = 294,498 : x
  2. Step 2: Convert to fraction form
    520,857.36/718,798.32 = 294,498/x
  3. Step 3: Cross multiply
    520,857.36x = 718,798.32 × 294,498
  4. Step 4: Simplify right side
    520,857.36x = 211,684,667,643.36
  5. Step 5: Solve for x
    x = 211,684,667,643.36/520,857.36
  6. Step 6: Final answer
    x = 406,415.81

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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.