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Finding the Fourth Proportional to 329,765, 455,075.74 and 186,521.96

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Solution

The fourth proportional to 329,765, 455,075.74 and 186,521.96 is: 257,400.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,765 : 455,075.74 = 186,521.96 : x
  2. Step 2: Convert to fraction form
    329,765/455,075.74 = 186,521.96/x
  3. Step 3: Cross multiply
    329,765x = 455,075.74 × 186,521.96
  4. Step 4: Simplify right side
    329,765x = 84,881,618,973.25
  5. Step 5: Solve for x
    x = 84,881,618,973.25/329,765
  6. Step 6: Final answer
    x = 257,400.33

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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.