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Finding the Fourth Proportional to 584,314, 806,353.38 and 316,042

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Solution

The fourth proportional to 584,314, 806,353.38 and 316,042 is: 436,137.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,314 : 806,353.38 = 316,042 : x
  2. Step 2: Convert to fraction form
    584,314/806,353.38 = 316,042/x
  3. Step 3: Cross multiply
    584,314x = 806,353.38 × 316,042
  4. Step 4: Simplify right side
    584,314x = 254,841,534,921.96
  5. Step 5: Solve for x
    x = 254,841,534,921.96/584,314
  6. Step 6: Final answer
    x = 436,137.99

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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.