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Finding the Fourth Proportional to 492,447.84, 738,803.44 and 176,907.52

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Solution

The fourth proportional to 492,447.84, 738,803.44 and 176,907.52 is: 265,408.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,447.84 : 738,803.44 = 176,907.52 : x
  2. Step 2: Convert to fraction form
    492,447.84/738,803.44 = 176,907.52/x
  3. Step 3: Cross multiply
    492,447.84x = 738,803.44 × 176,907.52
  4. Step 4: Simplify right side
    492,447.84x = 130,699,884,337.87
  5. Step 5: Solve for x
    x = 130,699,884,337.87/492,447.84
  6. Step 6: Final answer
    x = 265,408.58

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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.