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Finding the Fourth Proportional to 524,483.28, 723,772.80 and 295,065.36

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Solution

The fourth proportional to 524,483.28, 723,772.80 and 295,065.36 is: 407,182.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,483.28 : 723,772.80 = 295,065.36 : x
  2. Step 2: Convert to fraction form
    524,483.28/723,772.80 = 295,065.36/x
  3. Step 3: Cross multiply
    524,483.28x = 723,772.80 × 295,065.36
  4. Step 4: Simplify right side
    524,483.28x = 213,560,281,790.21
  5. Step 5: Solve for x
    x = 213,560,281,790.21/524,483.28
  6. Step 6: Final answer
    x = 407,182.25

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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.