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Finding the Fourth Proportional to 302,562.68, 417,352.29 and 186,294.86

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Solution

The fourth proportional to 302,562.68, 417,352.29 and 186,294.86 is: 256,973.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,562.68 : 417,352.29 = 186,294.86 : x
  2. Step 2: Convert to fraction form
    302,562.68/417,352.29 = 186,294.86/x
  3. Step 3: Cross multiply
    302,562.68x = 417,352.29 × 186,294.86
  4. Step 4: Simplify right side
    302,562.68x = 77,750,586,436.23
  5. Step 5: Solve for x
    x = 77,750,586,436.23/302,562.68
  6. Step 6: Final answer
    x = 256,973.49

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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.