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Finding the Fourth Proportional to 584,283, 806,310.60 and 316,011

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Solution

The fourth proportional to 584,283, 806,310.60 and 316,011 is: 436,095.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,283 : 806,310.60 = 316,011 : x
  2. Step 2: Convert to fraction form
    584,283/806,310.60 = 316,011/x
  3. Step 3: Cross multiply
    584,283x = 806,310.60 × 316,011
  4. Step 4: Simplify right side
    584,283x = 254,803,019,016.60
  5. Step 5: Solve for x
    x = 254,803,019,016.60/584,283
  6. Step 6: Final answer
    x = 436,095.21

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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.