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Finding the Fourth Proportional to 584,797.14, 807,022.50 and 316,525.14

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Solution

The fourth proportional to 584,797.14, 807,022.50 and 316,525.14 is: 436,806.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,797.14 : 807,022.50 = 316,525.14 : x
  2. Step 2: Convert to fraction form
    584,797.14/807,022.50 = 316,525.14/x
  3. Step 3: Cross multiply
    584,797.14x = 807,022.50 × 316,525.14
  4. Step 4: Simplify right side
    584,797.14x = 255,442,909,795.65
  5. Step 5: Solve for x
    x = 255,442,909,795.65/584,797.14
  6. Step 6: Final answer
    x = 436,806.02

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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.