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Finding the Fourth Proportional to 517,283.12, 776,012.16 and 236,822.24

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Solution

The fourth proportional to 517,283.12, 776,012.16 and 236,822.24 is: 355,273.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,283.12 : 776,012.16 = 236,822.24 : x
  2. Step 2: Convert to fraction form
    517,283.12/776,012.16 = 236,822.24/x
  3. Step 3: Cross multiply
    517,283.12x = 776,012.16 × 236,822.24
  4. Step 4: Simplify right side
    517,283.12x = 183,776,937,998.44
  5. Step 5: Solve for x
    x = 183,776,937,998.44/517,283.12
  6. Step 6: Final answer
    x = 355,273.41

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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.