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Finding the Fourth Proportional to 291,356.16, 402,071.04 and 164,025.60

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Solution

The fourth proportional to 291,356.16, 402,071.04 and 164,025.60 is: 226,355.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,356.16 : 402,071.04 = 164,025.60 : x
  2. Step 2: Convert to fraction form
    291,356.16/402,071.04 = 164,025.60/x
  3. Step 3: Cross multiply
    291,356.16x = 402,071.04 × 164,025.60
  4. Step 4: Simplify right side
    291,356.16x = 65,949,943,578.62
  5. Step 5: Solve for x
    x = 65,949,943,578.62/291,356.16
  6. Step 6: Final answer
    x = 226,355.07

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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.