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Finding the Fourth Proportional to 301,585.68, 416,003.04 and 216,816.48

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Solution

The fourth proportional to 301,585.68, 416,003.04 and 216,816.48 is: 299,073.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,585.68 : 416,003.04 = 216,816.48 : x
  2. Step 2: Convert to fraction form
    301,585.68/416,003.04 = 216,816.48/x
  3. Step 3: Cross multiply
    301,585.68x = 416,003.04 × 216,816.48
  4. Step 4: Simplify right side
    301,585.68x = 90,196,314,802.10
  5. Step 5: Solve for x
    x = 90,196,314,802.10/301,585.68
  6. Step 6: Final answer
    x = 299,073.60

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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.