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Finding the Fourth Proportional to 302,646.38, 417,681.16 and 168,510.38

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Solution

The fourth proportional to 302,646.38, 417,681.16 and 168,510.38 is: 232,560.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,646.38 : 417,681.16 = 168,510.38 : x
  2. Step 2: Convert to fraction form
    302,646.38/417,681.16 = 168,510.38/x
  3. Step 3: Cross multiply
    302,646.38x = 417,681.16 × 168,510.38
  4. Step 4: Simplify right side
    302,646.38x = 70,383,608,480.76
  5. Step 5: Solve for x
    x = 70,383,608,480.76/302,646.38
  6. Step 6: Final answer
    x = 232,560.55

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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.