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Finding the Fourth Proportional to 348,890.60, 523,335.90 and 313,898.60

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Solution

The fourth proportional to 348,890.60, 523,335.90 and 313,898.60 is: 470,847.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,890.60 : 523,335.90 = 313,898.60 : x
  2. Step 2: Convert to fraction form
    348,890.60/523,335.90 = 313,898.60/x
  3. Step 3: Cross multiply
    348,890.60x = 523,335.90 × 313,898.60
  4. Step 4: Simplify right side
    348,890.60x = 164,274,406,339.74
  5. Step 5: Solve for x
    x = 164,274,406,339.74/348,890.60
  6. Step 6: Final answer
    x = 470,847.90

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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.