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Finding the Fourth Proportional to 493,681.44, 740,446.33 and 156,678.31

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Solution

The fourth proportional to 493,681.44, 740,446.33 and 156,678.31 is: 234,993.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,681.44 : 740,446.33 = 156,678.31 : x
  2. Step 2: Convert to fraction form
    493,681.44/740,446.33 = 156,678.31/x
  3. Step 3: Cross multiply
    493,681.44x = 740,446.33 × 156,678.31
  4. Step 4: Simplify right side
    493,681.44x = 116,011,879,630.10
  5. Step 5: Solve for x
    x = 116,011,879,630.10/493,681.44
  6. Step 6: Final answer
    x = 234,993.40

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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.