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Finding the Fourth Proportional to 430,238.71, 593,814.81 and 249,009.31

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Solution

The fourth proportional to 430,238.71, 593,814.81 and 249,009.31 is: 343,682.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,238.71 : 593,814.81 = 249,009.31 : x
  2. Step 2: Convert to fraction form
    430,238.71/593,814.81 = 249,009.31/x
  3. Step 3: Cross multiply
    430,238.71x = 593,814.81 × 249,009.31
  4. Step 4: Simplify right side
    430,238.71x = 147,865,416,105.88
  5. Step 5: Solve for x
    x = 147,865,416,105.88/430,238.71
  6. Step 6: Final answer
    x = 343,682.27

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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.