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Finding the Fourth Proportional to 340,035.04, 509,833.86 and 162,538.12

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Solution

The fourth proportional to 340,035.04, 509,833.86 and 162,538.12 is: 243,702.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,035.04 : 509,833.86 = 162,538.12 : x
  2. Step 2: Convert to fraction form
    340,035.04/509,833.86 = 162,538.12/x
  3. Step 3: Cross multiply
    340,035.04x = 509,833.86 × 162,538.12
  4. Step 4: Simplify right side
    340,035.04x = 82,867,437,116.74
  5. Step 5: Solve for x
    x = 82,867,437,116.74/340,035.04
  6. Step 6: Final answer
    x = 243,702.64

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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.