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Finding the Fourth Proportional to 357,106.32, 492,807.52 and 195,962.64

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Solution

The fourth proportional to 357,106.32, 492,807.52 and 195,962.64 is: 270,428.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,106.32 : 492,807.52 = 195,962.64 : x
  2. Step 2: Convert to fraction form
    357,106.32/492,807.52 = 195,962.64/x
  3. Step 3: Cross multiply
    357,106.32x = 492,807.52 × 195,962.64
  4. Step 4: Simplify right side
    357,106.32x = 96,571,862,631.05
  5. Step 5: Solve for x
    x = 96,571,862,631.05/357,106.32
  6. Step 6: Final answer
    x = 270,428.88

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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.