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Finding the Fourth Proportional to 413,698.30, 570,884.43 and 229,928.32

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Solution

The fourth proportional to 413,698.30, 570,884.43 and 229,928.32 is: 317,290.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,698.30 : 570,884.43 = 229,928.32 : x
  2. Step 2: Convert to fraction form
    413,698.30/570,884.43 = 229,928.32/x
  3. Step 3: Cross multiply
    413,698.30x = 570,884.43 × 229,928.32
  4. Step 4: Simplify right side
    413,698.30x = 131,262,497,904.06
  5. Step 5: Solve for x
    x = 131,262,497,904.06/413,698.30
  6. Step 6: Final answer
    x = 317,290.40

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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.