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Finding the Fourth Proportional to 524,077.29, 723,252.30 and 294,706.77

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Solution

The fourth proportional to 524,077.29, 723,252.30 and 294,706.77 is: 406,709.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,077.29 : 723,252.30 = 294,706.77 : x
  2. Step 2: Convert to fraction form
    524,077.29/723,252.30 = 294,706.77/x
  3. Step 3: Cross multiply
    524,077.29x = 723,252.30 × 294,706.77
  4. Step 4: Simplify right side
    524,077.29x = 213,147,349,228.07
  5. Step 5: Solve for x
    x = 213,147,349,228.07/524,077.29
  6. Step 6: Final answer
    x = 406,709.76

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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.