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Finding the Fourth Proportional to 473,408.50, 710,235.87 and 140,984.50

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Solution

The fourth proportional to 473,408.50, 710,235.87 and 140,984.50 is: 211,513.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,408.50 : 710,235.87 = 140,984.50 : x
  2. Step 2: Convert to fraction form
    473,408.50/710,235.87 = 140,984.50/x
  3. Step 3: Cross multiply
    473,408.50x = 710,235.87 × 140,984.50
  4. Step 4: Simplify right side
    473,408.50x = 100,132,249,014.02
  5. Step 5: Solve for x
    x = 100,132,249,014.02/473,408.50
  6. Step 6: Final answer
    x = 211,513.42

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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.