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Finding the Fourth Proportional to 470,798.49, 649,492.11 and 313,677.12

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Solution

The fourth proportional to 470,798.49, 649,492.11 and 313,677.12 is: 432,734.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,798.49 : 649,492.11 = 313,677.12 : x
  2. Step 2: Convert to fraction form
    470,798.49/649,492.11 = 313,677.12/x
  3. Step 3: Cross multiply
    470,798.49x = 649,492.11 × 313,677.12
  4. Step 4: Simplify right side
    470,798.49x = 203,730,814,527.52
  5. Step 5: Solve for x
    x = 203,730,814,527.52/470,798.49
  6. Step 6: Final answer
    x = 432,734.64

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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.