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Finding the Fourth Proportional to 470,470.96, 649,106.89 and 266,489.47

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Solution

The fourth proportional to 470,470.96, 649,106.89 and 266,489.47 is: 367,674.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,470.96 : 649,106.89 = 266,489.47 : x
  2. Step 2: Convert to fraction form
    470,470.96/649,106.89 = 266,489.47/x
  3. Step 3: Cross multiply
    470,470.96x = 649,106.89 × 266,489.47
  4. Step 4: Simplify right side
    470,470.96x = 172,980,151,089.45
  5. Step 5: Solve for x
    x = 172,980,151,089.45/470,470.96
  6. Step 6: Final answer
    x = 367,674.45

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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.