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Finding the Fourth Proportional to 364,226.16, 502,606.44 and 203,074.32

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Solution

The fourth proportional to 364,226.16, 502,606.44 and 203,074.32 is: 280,228.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,226.16 : 502,606.44 = 203,074.32 : x
  2. Step 2: Convert to fraction form
    364,226.16/502,606.44 = 203,074.32/x
  3. Step 3: Cross multiply
    364,226.16x = 502,606.44 × 203,074.32
  4. Step 4: Simplify right side
    364,226.16x = 102,066,461,030.62
  5. Step 5: Solve for x
    x = 102,066,461,030.62/364,226.16
  6. Step 6: Final answer
    x = 280,228.25

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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.