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Finding the Fourth Proportional to 413,527.44, 620,284.08 and 235,655.04

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Solution

The fourth proportional to 413,527.44, 620,284.08 and 235,655.04 is: 353,478.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,527.44 : 620,284.08 = 235,655.04 : x
  2. Step 2: Convert to fraction form
    413,527.44/620,284.08 = 235,655.04/x
  3. Step 3: Cross multiply
    413,527.44x = 620,284.08 × 235,655.04
  4. Step 4: Simplify right side
    413,527.44x = 146,173,069,683.76
  5. Step 5: Solve for x
    x = 146,173,069,683.76/413,527.44
  6. Step 6: Final answer
    x = 353,478.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.