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Finding the Fourth Proportional to 553,698.98, 830,098.31 and 233,644.29

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Solution

The fourth proportional to 553,698.98, 830,098.31 and 233,644.29 is: 350,276.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,698.98 : 830,098.31 = 233,644.29 : x
  2. Step 2: Convert to fraction form
    553,698.98/830,098.31 = 233,644.29/x
  3. Step 3: Cross multiply
    553,698.98x = 830,098.31 × 233,644.29
  4. Step 4: Simplify right side
    553,698.98x = 193,947,730,270.15
  5. Step 5: Solve for x
    x = 193,947,730,270.15/553,698.98
  6. Step 6: Final answer
    x = 350,276.48

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Similar ratio
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1.5x scale

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.