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Finding the Fourth Proportional to 340,117.46, 509,615.60 and 197,562.59

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Solution

The fourth proportional to 340,117.46, 509,615.60 and 197,562.59 is: 296,018.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,117.46 : 509,615.60 = 197,562.59 : x
  2. Step 2: Convert to fraction form
    340,117.46/509,615.60 = 197,562.59/x
  3. Step 3: Cross multiply
    340,117.46x = 509,615.60 × 197,562.59
  4. Step 4: Simplify right side
    340,117.46x = 100,680,974,304.51
  5. Step 5: Solve for x
    x = 100,680,974,304.51/340,117.46
  6. Step 6: Final answer
    x = 296,018.25

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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.