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Finding the Fourth Proportional to 462,464.64, 693,693.36 and 237,888

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Solution

The fourth proportional to 462,464.64, 693,693.36 and 237,888 is: 356,830.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,464.64 : 693,693.36 = 237,888 : x
  2. Step 2: Convert to fraction form
    462,464.64/693,693.36 = 237,888/x
  3. Step 3: Cross multiply
    462,464.64x = 693,693.36 × 237,888
  4. Step 4: Simplify right side
    462,464.64x = 165,021,326,023.68
  5. Step 5: Solve for x
    x = 165,021,326,023.68/462,464.64
  6. Step 6: Final answer
    x = 356,830.15

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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.