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Finding the Fourth Proportional to 430,534.32, 594,083.88 and 239,534.16

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Solution

The fourth proportional to 430,534.32, 594,083.88 and 239,534.16 is: 330,527.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,534.32 : 594,083.88 = 239,534.16 : x
  2. Step 2: Convert to fraction form
    430,534.32/594,083.88 = 239,534.16/x
  3. Step 3: Cross multiply
    430,534.32x = 594,083.88 × 239,534.16
  4. Step 4: Simplify right side
    430,534.32x = 142,303,383,165.34
  5. Step 5: Solve for x
    x = 142,303,383,165.34/430,534.32
  6. Step 6: Final answer
    x = 330,527.39

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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.