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Finding the Fourth Proportional to 314,082, 433,364.68 and 178,085.24

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Solution

The fourth proportional to 314,082, 433,364.68 and 178,085.24 is: 245,718.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,082 : 433,364.68 = 178,085.24 : x
  2. Step 2: Convert to fraction form
    314,082/433,364.68 = 178,085.24/x
  3. Step 3: Cross multiply
    314,082x = 433,364.68 × 178,085.24
  4. Step 4: Simplify right side
    314,082x = 77,175,853,045.32
  5. Step 5: Solve for x
    x = 77,175,853,045.32/314,082
  6. Step 6: Final answer
    x = 245,718.80

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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.