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Finding the Fourth Proportional to 302,658, 417,668.04 and 175,407.41

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Solution

The fourth proportional to 302,658, 417,668.04 and 175,407.41 is: 242,062.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,658 : 417,668.04 = 175,407.41 : x
  2. Step 2: Convert to fraction form
    302,658/417,668.04 = 175,407.41/x
  3. Step 3: Cross multiply
    302,658x = 417,668.04 × 175,407.41
  4. Step 4: Simplify right side
    302,658x = 73,262,067,047.84
  5. Step 5: Solve for x
    x = 73,262,067,047.84/302,658
  6. Step 6: Final answer
    x = 242,062.22

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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.