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Finding the Fourth Proportional to 465,327.36, 697,995.36 and 299,232

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Solution

The fourth proportional to 465,327.36, 697,995.36 and 299,232 is: 448,850.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,327.36 : 697,995.36 = 299,232 : x
  2. Step 2: Convert to fraction form
    465,327.36/697,995.36 = 299,232/x
  3. Step 3: Cross multiply
    465,327.36x = 697,995.36 × 299,232
  4. Step 4: Simplify right side
    465,327.36x = 208,862,547,563.52
  5. Step 5: Solve for x
    x = 208,862,547,563.52/465,327.36
  6. Step 6: Final answer
    x = 448,850.78

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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.