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Finding the Fourth Proportional to 295,309.40, 442,964.10 and 293,559.80

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Solution

The fourth proportional to 295,309.40, 442,964.10 and 293,559.80 is: 440,339.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,309.40 : 442,964.10 = 293,559.80 : x
  2. Step 2: Convert to fraction form
    295,309.40/442,964.10 = 293,559.80/x
  3. Step 3: Cross multiply
    295,309.40x = 442,964.10 × 293,559.80
  4. Step 4: Simplify right side
    295,309.40x = 130,036,452,603.18
  5. Step 5: Solve for x
    x = 130,036,452,603.18/295,309.40
  6. Step 6: Final answer
    x = 440,339.70

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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.