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Finding the Fourth Proportional to 470,433.96, 649,152.02 and 266,444.17

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Solution

The fourth proportional to 470,433.96, 649,152.02 and 266,444.17 is: 367,666.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,433.96 : 649,152.02 = 266,444.17 : x
  2. Step 2: Convert to fraction form
    470,433.96/649,152.02 = 266,444.17/x
  3. Step 3: Cross multiply
    470,433.96x = 649,152.02 × 266,444.17
  4. Step 4: Simplify right side
    470,433.96x = 172,962,770,215.95
  5. Step 5: Solve for x
    x = 172,962,770,215.95/470,433.96
  6. Step 6: Final answer
    x = 367,666.42

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1.5x scale

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.