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Finding the Fourth Proportional to 321,044.76, 482,038.70 and 315,374.96

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Solution

The fourth proportional to 321,044.76, 482,038.70 and 315,374.96 is: 473,525.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,044.76 : 482,038.70 = 315,374.96 : x
  2. Step 2: Convert to fraction form
    321,044.76/482,038.70 = 315,374.96/x
  3. Step 3: Cross multiply
    321,044.76x = 482,038.70 × 315,374.96
  4. Step 4: Simplify right side
    321,044.76x = 152,022,935,730.95
  5. Step 5: Solve for x
    x = 152,022,935,730.95/321,044.76
  6. Step 6: Final answer
    x = 473,525.67

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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.