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Finding the Fourth Proportional to 256,775.24, 385,254.06 and 114,607.64

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Solution

The fourth proportional to 256,775.24, 385,254.06 and 114,607.64 is: 171,952.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,775.24 : 385,254.06 = 114,607.64 : x
  2. Step 2: Convert to fraction form
    256,775.24/385,254.06 = 114,607.64/x
  3. Step 3: Cross multiply
    256,775.24x = 385,254.06 × 114,607.64
  4. Step 4: Simplify right side
    256,775.24x = 44,153,058,617.02
  5. Step 5: Solve for x
    x = 44,153,058,617.02/256,775.24
  6. Step 6: Final answer
    x = 171,952.17

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1.5x scale

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.