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Finding the Fourth Proportional to 532,441.16, 734,783.94 and 290,739.08

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Solution

The fourth proportional to 532,441.16, 734,783.94 and 290,739.08 is: 401,228.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,441.16 : 734,783.94 = 290,739.08 : x
  2. Step 2: Convert to fraction form
    532,441.16/734,783.94 = 290,739.08/x
  3. Step 3: Cross multiply
    532,441.16x = 734,783.94 × 290,739.08
  4. Step 4: Simplify right side
    532,441.16x = 213,630,406,714.38
  5. Step 5: Solve for x
    x = 213,630,406,714.38/532,441.16
  6. Step 6: Final answer
    x = 401,228.20

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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.