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Finding the Fourth Proportional to 514,284.54, 771,477.58 and 177,280.84

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Solution

The fourth proportional to 514,284.54, 771,477.58 and 177,280.84 is: 265,938.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,284.54 : 771,477.58 = 177,280.84 : x
  2. Step 2: Convert to fraction form
    514,284.54/771,477.58 = 177,280.84/x
  3. Step 3: Cross multiply
    514,284.54x = 771,477.58 × 177,280.84
  4. Step 4: Simplify right side
    514,284.54x = 136,768,193,423.57
  5. Step 5: Solve for x
    x = 136,768,193,423.57/514,284.54
  6. Step 6: Final answer
    x = 265,938.76

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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.