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Finding the Fourth Proportional to 524,475.11, 723,754.61 and 295,036.94

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Solution

The fourth proportional to 524,475.11, 723,754.61 and 295,036.94 is: 407,139.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,475.11 : 723,754.61 = 295,036.94 : x
  2. Step 2: Convert to fraction form
    524,475.11/723,754.61 = 295,036.94/x
  3. Step 3: Cross multiply
    524,475.11x = 723,754.61 × 295,036.94
  4. Step 4: Simplify right side
    524,475.11x = 213,534,341,826.52
  5. Step 5: Solve for x
    x = 213,534,341,826.52/524,475.11
  6. Step 6: Final answer
    x = 407,139.14

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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.