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Finding the Fourth Proportional to 493,686.69, 740,454.39 and 156,683.65

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Solution

The fourth proportional to 493,686.69, 740,454.39 and 156,683.65 is: 235,001.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,686.69 : 740,454.39 = 156,683.65 : x
  2. Step 2: Convert to fraction form
    493,686.69/740,454.39 = 156,683.65/x
  3. Step 3: Cross multiply
    493,686.69x = 740,454.39 × 156,683.65
  4. Step 4: Simplify right side
    493,686.69x = 116,017,096,483.72
  5. Step 5: Solve for x
    x = 116,017,096,483.72/493,686.69
  6. Step 6: Final answer
    x = 235,001.47

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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.