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Finding the Fourth Proportional to 584,915.80, 807,186.38 and 316,643.80

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Solution

The fourth proportional to 584,915.80, 807,186.38 and 316,643.80 is: 436,969.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,915.80 : 807,186.38 = 316,643.80 : x
  2. Step 2: Convert to fraction form
    584,915.80/807,186.38 = 316,643.80/x
  3. Step 3: Cross multiply
    584,915.80x = 807,186.38 × 316,643.80
  4. Step 4: Simplify right side
    584,915.80x = 255,590,562,671.44
  5. Step 5: Solve for x
    x = 255,590,562,671.44/584,915.80
  6. Step 6: Final answer
    x = 436,969.84

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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.