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Finding the Fourth Proportional to 473,144.40, 709,988.76 and 262,764.72

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Solution

The fourth proportional to 473,144.40, 709,988.76 and 262,764.72 is: 394,298.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,144.40 : 709,988.76 = 262,764.72 : x
  2. Step 2: Convert to fraction form
    473,144.40/709,988.76 = 262,764.72/x
  3. Step 3: Cross multiply
    473,144.40x = 709,988.76 × 262,764.72
  4. Step 4: Simplify right side
    473,144.40x = 186,559,997,724.55
  5. Step 5: Solve for x
    x = 186,559,997,724.55/473,144.40
  6. Step 6: Final answer
    x = 394,298.23

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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.