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Finding the Fourth Proportional to 341,206.74, 511,875.72 and 130,828.28

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Solution

The fourth proportional to 341,206.74, 511,875.72 and 130,828.28 is: 196,267.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,206.74 : 511,875.72 = 130,828.28 : x
  2. Step 2: Convert to fraction form
    341,206.74/511,875.72 = 130,828.28/x
  3. Step 3: Cross multiply
    341,206.74x = 511,875.72 × 130,828.28
  4. Step 4: Simplify right side
    341,206.74x = 66,967,817,461.98
  5. Step 5: Solve for x
    x = 66,967,817,461.98/341,206.74
  6. Step 6: Final answer
    x = 196,267.57

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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.