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Finding the Fourth Proportional to 427,307.45, 589,660.29 and 233,676.63

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Solution

The fourth proportional to 427,307.45, 589,660.29 and 233,676.63 is: 322,460.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,307.45 : 589,660.29 = 233,676.63 : x
  2. Step 2: Convert to fraction form
    427,307.45/589,660.29 = 233,676.63/x
  3. Step 3: Cross multiply
    427,307.45x = 589,660.29 × 233,676.63
  4. Step 4: Simplify right side
    427,307.45x = 137,789,829,412.02
  5. Step 5: Solve for x
    x = 137,789,829,412.02/427,307.45
  6. Step 6: Final answer
    x = 322,460.63

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1.5x scale

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.