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Finding the Fourth Proportional to 410,967.37, 566,974.78 and 257,916.25

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Solution

The fourth proportional to 410,967.37, 566,974.78 and 257,916.25 is: 355,823.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,967.37 : 566,974.78 = 257,916.25 : x
  2. Step 2: Convert to fraction form
    410,967.37/566,974.78 = 257,916.25/x
  3. Step 3: Cross multiply
    410,967.37x = 566,974.78 × 257,916.25
  4. Step 4: Simplify right side
    410,967.37x = 146,232,009,102.18
  5. Step 5: Solve for x
    x = 146,232,009,102.18/410,967.37
  6. Step 6: Final answer
    x = 355,823.89

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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.