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Finding the Fourth Proportional to 997,308, 1,376,384.64 and 594,900

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Solution

The fourth proportional to 997,308, 1,376,384.64 and 594,900 is: 821,021.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,308 : 1,376,384.64 = 594,900 : x
  2. Step 2: Convert to fraction form
    997,308/1,376,384.64 = 594,900/x
  3. Step 3: Cross multiply
    997,308x = 1,376,384.64 × 594,900
  4. Step 4: Simplify right side
    997,308x = 818,811,222,336
  5. Step 5: Solve for x
    x = 818,811,222,336/997,308
  6. Step 6: Final answer
    x = 821,021.41

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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.