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Finding the Fourth Proportional to 430,214.60, 593,696.64 and 239,223.89

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Solution

The fourth proportional to 430,214.60, 593,696.64 and 239,223.89 is: 330,129.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,214.60 : 593,696.64 = 239,223.89 : x
  2. Step 2: Convert to fraction form
    430,214.60/593,696.64 = 239,223.89/x
  3. Step 3: Cross multiply
    430,214.60x = 593,696.64 × 239,223.89
  4. Step 4: Simplify right side
    430,214.60x = 142,026,415,536.13
  5. Step 5: Solve for x
    x = 142,026,415,536.13/430,214.60
  6. Step 6: Final answer
    x = 330,129.24

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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.