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Finding the Fourth Proportional to 470,373.58, 648,472.84 and 323,193.95

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Solution

The fourth proportional to 470,373.58, 648,472.84 and 323,193.95 is: 445,566.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,373.58 : 648,472.84 = 323,193.95 : x
  2. Step 2: Convert to fraction form
    470,373.58/648,472.84 = 323,193.95/x
  3. Step 3: Cross multiply
    470,373.58x = 648,472.84 × 323,193.95
  4. Step 4: Simplify right side
    470,373.58x = 209,582,497,008.74
  5. Step 5: Solve for x
    x = 209,582,497,008.74/470,373.58
  6. Step 6: Final answer
    x = 445,566.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.