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Finding the Fourth Proportional to 407,382.51, 562,033.56 and 300,208.17

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Solution

The fourth proportional to 407,382.51, 562,033.56 and 300,208.17 is: 414,173.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,382.51 : 562,033.56 = 300,208.17 : x
  2. Step 2: Convert to fraction form
    407,382.51/562,033.56 = 300,208.17/x
  3. Step 3: Cross multiply
    407,382.51x = 562,033.56 × 300,208.17
  4. Step 4: Simplify right side
    407,382.51x = 168,727,066,526.19
  5. Step 5: Solve for x
    x = 168,727,066,526.19/407,382.51
  6. Step 6: Final answer
    x = 414,173.57

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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.