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Finding the Fourth Proportional to 457,774.56, 684,794.16 and 369,128.16

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Solution

The fourth proportional to 457,774.56, 684,794.16 and 369,128.16 is: 552,186.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,774.56 : 684,794.16 = 369,128.16 : x
  2. Step 2: Convert to fraction form
    457,774.56/684,794.16 = 369,128.16/x
  3. Step 3: Cross multiply
    457,774.56x = 684,794.16 × 369,128.16
  4. Step 4: Simplify right side
    457,774.56x = 252,776,808,259.55
  5. Step 5: Solve for x
    x = 252,776,808,259.55/457,774.56
  6. Step 6: Final answer
    x = 552,186.23

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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.