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Finding the Fourth Proportional to 302,097.51, 416,954.93 and 230,349.33

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Solution

The fourth proportional to 302,097.51, 416,954.93 and 230,349.33 is: 317,928.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,097.51 : 416,954.93 = 230,349.33 : x
  2. Step 2: Convert to fraction form
    302,097.51/416,954.93 = 230,349.33/x
  3. Step 3: Cross multiply
    302,097.51x = 416,954.93 × 230,349.33
  4. Step 4: Simplify right side
    302,097.51x = 96,045,287,613.95
  5. Step 5: Solve for x
    x = 96,045,287,613.95/302,097.51
  6. Step 6: Final answer
    x = 317,928.10

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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.