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Finding the Fourth Proportional to 497,484.96, 746,447.28 and 260,771.04

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Solution

The fourth proportional to 497,484.96, 746,447.28 and 260,771.04 is: 391,271.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,484.96 : 746,447.28 = 260,771.04 : x
  2. Step 2: Convert to fraction form
    497,484.96/746,447.28 = 260,771.04/x
  3. Step 3: Cross multiply
    497,484.96x = 746,447.28 × 260,771.04
  4. Step 4: Simplify right side
    497,484.96x = 194,651,833,510.77
  5. Step 5: Solve for x
    x = 194,651,833,510.77/497,484.96
  6. Step 6: Final answer
    x = 391,271.80

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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.