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Finding the Fourth Proportional to 302,214.32, 417,009.51 and 174,865.31

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Solution

The fourth proportional to 302,214.32, 417,009.51 and 174,865.31 is: 241,287.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,214.32 : 417,009.51 = 174,865.31 : x
  2. Step 2: Convert to fraction form
    302,214.32/417,009.51 = 174,865.31/x
  3. Step 3: Cross multiply
    302,214.32x = 417,009.51 × 174,865.31
  4. Step 4: Simplify right side
    302,214.32x = 72,920,497,239.10
  5. Step 5: Solve for x
    x = 72,920,497,239.10/302,214.32
  6. Step 6: Final answer
    x = 241,287.37

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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.