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Finding the Fourth Proportional to 497,814, 746,795.88 and 160,741.68

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Solution

The fourth proportional to 497,814, 746,795.88 and 160,741.68 is: 241,136.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,814 : 746,795.88 = 160,741.68 : x
  2. Step 2: Convert to fraction form
    497,814/746,795.88 = 160,741.68/x
  3. Step 3: Cross multiply
    497,814x = 746,795.88 × 160,741.68
  4. Step 4: Simplify right side
    497,814x = 120,041,224,368.28
  5. Step 5: Solve for x
    x = 120,041,224,368.28/497,814
  6. Step 6: Final answer
    x = 241,136.70

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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.