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Finding the Fourth Proportional to 384,454.24, 530,524.88 and 229,580.32

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Solution

The fourth proportional to 384,454.24, 530,524.88 and 229,580.32 is: 316,807.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,454.24 : 530,524.88 = 229,580.32 : x
  2. Step 2: Convert to fraction form
    384,454.24/530,524.88 = 229,580.32/x
  3. Step 3: Cross multiply
    384,454.24x = 530,524.88 × 229,580.32
  4. Step 4: Simplify right side
    384,454.24x = 121,798,071,718.36
  5. Step 5: Solve for x
    x = 121,798,071,718.36/384,454.24
  6. Step 6: Final answer
    x = 316,807.72

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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.