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Finding the Fourth Proportional to 514,533.72, 771,923.20 and 177,577.28

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Solution

The fourth proportional to 514,533.72, 771,923.20 and 177,577.28 is: 266,408.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,533.72 : 771,923.20 = 177,577.28 : x
  2. Step 2: Convert to fraction form
    514,533.72/771,923.20 = 177,577.28/x
  3. Step 3: Cross multiply
    514,533.72x = 771,923.20 × 177,577.28
  4. Step 4: Simplify right side
    514,533.72x = 137,076,021,648.44
  5. Step 5: Solve for x
    x = 137,076,021,648.44/514,533.72
  6. Step 6: Final answer
    x = 266,408.24

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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.