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Finding the Fourth Proportional to 341,157.53, 511,729.30 and 151,566.50

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Solution

The fourth proportional to 341,157.53, 511,729.30 and 151,566.50 is: 227,346.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,157.53 : 511,729.30 = 151,566.50 : x
  2. Step 2: Convert to fraction form
    341,157.53/511,729.30 = 151,566.50/x
  3. Step 3: Cross multiply
    341,157.53x = 511,729.30 × 151,566.50
  4. Step 4: Simplify right side
    341,157.53x = 77,561,020,417.23
  5. Step 5: Solve for x
    x = 77,561,020,417.23/341,157.53
  6. Step 6: Final answer
    x = 227,346.64

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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.