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Finding the Fourth Proportional to 516,082.70, 774,123.24 and 338,547.44

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Solution

The fourth proportional to 516,082.70, 774,123.24 and 338,547.44 is: 507,820.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,082.70 : 774,123.24 = 338,547.44 : x
  2. Step 2: Convert to fraction form
    516,082.70/774,123.24 = 338,547.44/x
  3. Step 3: Cross multiply
    516,082.70x = 774,123.24 × 338,547.44
  4. Step 4: Simplify right side
    516,082.70x = 262,077,441,146.51
  5. Step 5: Solve for x
    x = 262,077,441,146.51/516,082.70
  6. Step 6: Final answer
    x = 507,820.63

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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.