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Finding the Fourth Proportional to 538,482.66, 807,820.06 and 178,675.14

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Solution

The fourth proportional to 538,482.66, 807,820.06 and 178,675.14 is: 268,044.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,482.66 : 807,820.06 = 178,675.14 : x
  2. Step 2: Convert to fraction form
    538,482.66/807,820.06 = 178,675.14/x
  3. Step 3: Cross multiply
    538,482.66x = 807,820.06 × 178,675.14
  4. Step 4: Simplify right side
    538,482.66x = 144,337,362,315.31
  5. Step 5: Solve for x
    x = 144,337,362,315.31/538,482.66
  6. Step 6: Final answer
    x = 268,044.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.