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Finding the Fourth Proportional to 473,658.40, 710,487.60 and 422,048.80

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Solution

The fourth proportional to 473,658.40, 710,487.60 and 422,048.80 is: 633,073.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,658.40 : 710,487.60 = 422,048.80 : x
  2. Step 2: Convert to fraction form
    473,658.40/710,487.60 = 422,048.80/x
  3. Step 3: Cross multiply
    473,658.40x = 710,487.60 × 422,048.80
  4. Step 4: Simplify right side
    473,658.40x = 299,860,438,994.88
  5. Step 5: Solve for x
    x = 299,860,438,994.88/473,658.40
  6. Step 6: Final answer
    x = 633,073.20

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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.