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Finding the Fourth Proportional to 347,102.40, 519,271.20 and 313,924.80

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Solution

The fourth proportional to 347,102.40, 519,271.20 and 313,924.80 is: 469,636.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,102.40 : 519,271.20 = 313,924.80 : x
  2. Step 2: Convert to fraction form
    347,102.40/519,271.20 = 313,924.80/x
  3. Step 3: Cross multiply
    347,102.40x = 519,271.20 × 313,924.80
  4. Step 4: Simplify right side
    347,102.40x = 163,012,107,605.76
  5. Step 5: Solve for x
    x = 163,012,107,605.76/347,102.40
  6. Step 6: Final answer
    x = 469,636.94

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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.