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Finding the Fourth Proportional to 493,547.88, 740,626.38 and 193,975.86

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Solution

The fourth proportional to 493,547.88, 740,626.38 and 193,975.86 is: 291,083.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,547.88 : 740,626.38 = 193,975.86 : x
  2. Step 2: Convert to fraction form
    493,547.88/740,626.38 = 193,975.86/x
  3. Step 3: Cross multiply
    493,547.88x = 740,626.38 × 193,975.86
  4. Step 4: Simplify right side
    493,547.88x = 143,663,638,999.19
  5. Step 5: Solve for x
    x = 143,663,638,999.19/493,547.88
  6. Step 6: Final answer
    x = 291,083.49

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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.