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Finding the Fourth Proportional to 506,089.85, 759,047.29 and 151,008.53

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Solution

The fourth proportional to 506,089.85, 759,047.29 and 151,008.53 is: 226,486.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,089.85 : 759,047.29 = 151,008.53 : x
  2. Step 2: Convert to fraction form
    506,089.85/759,047.29 = 151,008.53/x
  3. Step 3: Cross multiply
    506,089.85x = 759,047.29 × 151,008.53
  4. Step 4: Simplify right side
    506,089.85x = 114,622,611,290.63
  5. Step 5: Solve for x
    x = 114,622,611,290.63/506,089.85
  6. Step 6: Final answer
    x = 226,486.68

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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.