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Finding the Fourth Proportional to 430,653.30, 645,980.15 and 193,719.16

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Solution

The fourth proportional to 430,653.30, 645,980.15 and 193,719.16 is: 290,578.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,653.30 : 645,980.15 = 193,719.16 : x
  2. Step 2: Convert to fraction form
    430,653.30/645,980.15 = 193,719.16/x
  3. Step 3: Cross multiply
    430,653.30x = 645,980.15 × 193,719.16
  4. Step 4: Simplify right side
    430,653.30x = 125,138,731,066.08
  5. Step 5: Solve for x
    x = 125,138,731,066.08/430,653.30
  6. Step 6: Final answer
    x = 290,578.83

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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.