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Finding the Fourth Proportional to 428,096.47, 590,549.18 and 264,700.77

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Solution

The fourth proportional to 428,096.47, 590,549.18 and 264,700.77 is: 365,148.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,096.47 : 590,549.18 = 264,700.77 : x
  2. Step 2: Convert to fraction form
    428,096.47/590,549.18 = 264,700.77/x
  3. Step 3: Cross multiply
    428,096.47x = 590,549.18 × 264,700.77
  4. Step 4: Simplify right side
    428,096.47x = 156,318,821,345.37
  5. Step 5: Solve for x
    x = 156,318,821,345.37/428,096.47
  6. Step 6: Final answer
    x = 365,148.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.