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Finding the Fourth Proportional to 356,674.84, 535,041.38 and 146,314.60

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Solution

The fourth proportional to 356,674.84, 535,041.38 and 146,314.60 is: 219,483.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,674.84 : 535,041.38 = 146,314.60 : x
  2. Step 2: Convert to fraction form
    356,674.84/535,041.38 = 146,314.60/x
  3. Step 3: Cross multiply
    356,674.84x = 535,041.38 × 146,314.60
  4. Step 4: Simplify right side
    356,674.84x = 78,284,365,498.15
  5. Step 5: Solve for x
    x = 78,284,365,498.15/356,674.84
  6. Step 6: Final answer
    x = 219,483.85

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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.