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Finding the Fourth Proportional to 289,595.78, 399,642.33 and 176,418.53

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Solution

The fourth proportional to 289,595.78, 399,642.33 and 176,418.53 is: 243,457.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,595.78 : 399,642.33 = 176,418.53 : x
  2. Step 2: Convert to fraction form
    289,595.78/399,642.33 = 176,418.53/x
  3. Step 3: Cross multiply
    289,595.78x = 399,642.33 × 176,418.53
  4. Step 4: Simplify right side
    289,595.78x = 70,504,312,384.37
  5. Step 5: Solve for x
    x = 70,504,312,384.37/289,595.78
  6. Step 6: Final answer
    x = 243,457.66

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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.