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Finding the Fourth Proportional to 493,384.64, 740,372.16 and 212,901.84

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Solution

The fourth proportional to 493,384.64, 740,372.16 and 212,901.84 is: 319,480.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,384.64 : 740,372.16 = 212,901.84 : x
  2. Step 2: Convert to fraction form
    493,384.64/740,372.16 = 212,901.84/x
  3. Step 3: Cross multiply
    493,384.64x = 740,372.16 × 212,901.84
  4. Step 4: Simplify right side
    493,384.64x = 157,626,595,148.77
  5. Step 5: Solve for x
    x = 157,626,595,148.77/493,384.64
  6. Step 6: Final answer
    x = 319,480.14

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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.