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Finding the Fourth Proportional to 514,365.84, 771,585.82 and 177,401.76

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Solution

The fourth proportional to 514,365.84, 771,585.82 and 177,401.76 is: 266,115.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,365.84 : 771,585.82 = 177,401.76 : x
  2. Step 2: Convert to fraction form
    514,365.84/771,585.82 = 177,401.76/x
  3. Step 3: Cross multiply
    514,365.84x = 771,585.82 × 177,401.76
  4. Step 4: Simplify right side
    514,365.84x = 136,880,682,459.04
  5. Step 5: Solve for x
    x = 136,880,682,459.04/514,365.84
  6. Step 6: Final answer
    x = 266,115.42

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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.