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Finding the Fourth Proportional to 524,506.37, 723,817.72 and 295,063.82

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Solution

The fourth proportional to 524,506.37, 723,817.72 and 295,063.82 is: 407,187.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,506.37 : 723,817.72 = 295,063.82 : x
  2. Step 2: Convert to fraction form
    524,506.37/723,817.72 = 295,063.82/x
  3. Step 3: Cross multiply
    524,506.37x = 723,817.72 × 295,063.82
  4. Step 4: Simplify right side
    524,506.37x = 213,572,416,352.48
  5. Step 5: Solve for x
    x = 213,572,416,352.48/524,506.37
  6. Step 6: Final answer
    x = 407,187.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.