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Finding the Fourth Proportional to 506,014.65, 759,153.42 and 151,028.64

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Solution

The fourth proportional to 506,014.65, 759,153.42 and 151,028.64 is: 226,582.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,014.65 : 759,153.42 = 151,028.64 : x
  2. Step 2: Convert to fraction form
    506,014.65/759,153.42 = 151,028.64/x
  3. Step 3: Cross multiply
    506,014.65x = 759,153.42 × 151,028.64
  4. Step 4: Simplify right side
    506,014.65x = 114,653,908,573.95
  5. Step 5: Solve for x
    x = 114,653,908,573.95/506,014.65
  6. Step 6: Final answer
    x = 226,582.19

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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.