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Finding the Fourth Proportional to 430,639.38, 593,666.46 and 302,918.58

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Solution

The fourth proportional to 430,639.38, 593,666.46 and 302,918.58 is: 417,594.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,639.38 : 593,666.46 = 302,918.58 : x
  2. Step 2: Convert to fraction form
    430,639.38/593,666.46 = 302,918.58/x
  3. Step 3: Cross multiply
    430,639.38x = 593,666.46 × 302,918.58
  4. Step 4: Simplify right side
    430,639.38x = 179,832,601,056.83
  5. Step 5: Solve for x
    x = 179,832,601,056.83/430,639.38
  6. Step 6: Final answer
    x = 417,594.42

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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.