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Finding the Fourth Proportional to 507,527.12, 761,304.02 and 147,683.44

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Solution

The fourth proportional to 507,527.12, 761,304.02 and 147,683.44 is: 221,529.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,527.12 : 761,304.02 = 147,683.44 : x
  2. Step 2: Convert to fraction form
    507,527.12/761,304.02 = 147,683.44/x
  3. Step 3: Cross multiply
    507,527.12x = 761,304.02 × 147,683.44
  4. Step 4: Simplify right side
    507,527.12x = 112,431,996,559.43
  5. Step 5: Solve for x
    x = 112,431,996,559.43/507,527.12
  6. Step 6: Final answer
    x = 221,529.04

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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.