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Finding the Fourth Proportional to 709,196.94, 978,657.66 and 386,887.82

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Solution

The fourth proportional to 709,196.94, 978,657.66 and 386,887.82 is: 533,886.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,196.94 : 978,657.66 = 386,887.82 : x
  2. Step 2: Convert to fraction form
    709,196.94/978,657.66 = 386,887.82/x
  3. Step 3: Cross multiply
    709,196.94x = 978,657.66 × 386,887.82
  4. Step 4: Simplify right side
    709,196.94x = 378,630,723,710.41
  5. Step 5: Solve for x
    x = 378,630,723,710.41/709,196.94
  6. Step 6: Final answer
    x = 533,886.57

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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.