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Finding the Fourth Proportional to 524,057.45, 723,159.50 and 294,578.24

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Solution

The fourth proportional to 524,057.45, 723,159.50 and 294,578.24 is: 406,495.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,057.45 : 723,159.50 = 294,578.24 : x
  2. Step 2: Convert to fraction form
    524,057.45/723,159.50 = 294,578.24/x
  3. Step 3: Cross multiply
    524,057.45x = 723,159.50 × 294,578.24
  4. Step 4: Simplify right side
    524,057.45x = 213,027,047,660.59
  5. Step 5: Solve for x
    x = 213,027,047,660.59/524,057.45
  6. Step 6: Final answer
    x = 406,495.60

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1.5x scale

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.