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Finding the Fourth Proportional to 584,318, 806,360.28 and 316,046

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Solution

The fourth proportional to 584,318, 806,360.28 and 316,046 is: 436,144.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,318 : 806,360.28 = 316,046 : x
  2. Step 2: Convert to fraction form
    584,318/806,360.28 = 316,046/x
  3. Step 3: Cross multiply
    584,318x = 806,360.28 × 316,046
  4. Step 4: Simplify right side
    584,318x = 254,846,941,052.88
  5. Step 5: Solve for x
    x = 254,846,941,052.88/584,318
  6. Step 6: Final answer
    x = 436,144.26

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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.