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Finding the Fourth Proportional to 302,726.64, 417,762.84 and 175,476.03

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Solution

The fourth proportional to 302,726.64, 417,762.84 and 175,476.03 is: 242,156.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,726.64 : 417,762.84 = 175,476.03 : x
  2. Step 2: Convert to fraction form
    302,726.64/417,762.84 = 175,476.03/x
  3. Step 3: Cross multiply
    302,726.64x = 417,762.84 × 175,476.03
  4. Step 4: Simplify right side
    302,726.64x = 73,307,364,644.73
  5. Step 5: Solve for x
    x = 73,307,364,644.73/302,726.64
  6. Step 6: Final answer
    x = 242,156.97

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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.