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Finding the Fourth Proportional to 302,726.56, 417,762.54 and 175,475.92

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Solution

The fourth proportional to 302,726.56, 417,762.54 and 175,475.92 is: 242,156.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,726.56 : 417,762.54 = 175,475.92 : x
  2. Step 2: Convert to fraction form
    302,726.56/417,762.54 = 175,475.92/x
  3. Step 3: Cross multiply
    302,726.56x = 417,762.54 × 175,475.92
  4. Step 4: Simplify right side
    302,726.56x = 73,307,266,048.04
  5. Step 5: Solve for x
    x = 73,307,266,048.04/302,726.56
  6. Step 6: Final answer
    x = 242,156.70

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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.