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Finding the Fourth Proportional to 302,752, 417,797.76 and 168,616

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Solution

The fourth proportional to 302,752, 417,797.76 and 168,616 is: 232,690.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,752 : 417,797.76 = 168,616 : x
  2. Step 2: Convert to fraction form
    302,752/417,797.76 = 168,616/x
  3. Step 3: Cross multiply
    302,752x = 417,797.76 × 168,616
  4. Step 4: Simplify right side
    302,752x = 70,447,387,100.16
  5. Step 5: Solve for x
    x = 70,447,387,100.16/302,752
  6. Step 6: Final answer
    x = 232,690.08

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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.