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Finding the Fourth Proportional to 472,701, 652,329.42 and 257,845.72

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Solution

The fourth proportional to 472,701, 652,329.42 and 257,845.72 is: 355,828.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,701 : 652,329.42 = 257,845.72 : x
  2. Step 2: Convert to fraction form
    472,701/652,329.42 = 257,845.72/x
  3. Step 3: Cross multiply
    472,701x = 652,329.42 × 257,845.72
  4. Step 4: Simplify right side
    472,701x = 168,200,348,977.08
  5. Step 5: Solve for x
    x = 168,200,348,977.08/472,701
  6. Step 6: Final answer
    x = 355,828.21

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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.