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Finding the Fourth Proportional to 302,210.24, 417,024.42 and 174,893.72

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Solution

The fourth proportional to 302,210.24, 417,024.42 and 174,893.72 is: 241,338.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,210.24 : 417,024.42 = 174,893.72 : x
  2. Step 2: Convert to fraction form
    302,210.24/417,024.42 = 174,893.72/x
  3. Step 3: Cross multiply
    302,210.24x = 417,024.42 × 174,893.72
  4. Step 4: Simplify right side
    302,210.24x = 72,934,952,144.64
  5. Step 5: Solve for x
    x = 72,934,952,144.64/302,210.24
  6. Step 6: Final answer
    x = 241,338.45

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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.