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Finding the Fourth Proportional to 302,887.30, 417,978.75 and 175,574.74

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Solution

The fourth proportional to 302,887.30, 417,978.75 and 175,574.74 is: 242,289.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,887.30 : 417,978.75 = 175,574.74 : x
  2. Step 2: Convert to fraction form
    302,887.30/417,978.75 = 175,574.74/x
  3. Step 3: Cross multiply
    302,887.30x = 417,978.75 × 175,574.74
  4. Step 4: Simplify right side
    302,887.30x = 73,386,510,356.78
  5. Step 5: Solve for x
    x = 73,386,510,356.78/302,887.30
  6. Step 6: Final answer
    x = 242,289.82

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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.