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Finding the Fourth Proportional to 295,986.60, 444,012.30 and 286,655.40

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Solution

The fourth proportional to 295,986.60, 444,012.30 and 286,655.40 is: 430,014.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,986.60 : 444,012.30 = 286,655.40 : x
  2. Step 2: Convert to fraction form
    295,986.60/444,012.30 = 286,655.40/x
  3. Step 3: Cross multiply
    295,986.60x = 444,012.30 × 286,655.40
  4. Step 4: Simplify right side
    295,986.60x = 127,278,523,461.42
  5. Step 5: Solve for x
    x = 127,278,523,461.42/295,986.60
  6. Step 6: Final answer
    x = 430,014.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.