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Finding the Fourth Proportional to 461,688.59, 637,162.35 and 257,779.60

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Solution

The fourth proportional to 461,688.59, 637,162.35 and 257,779.60 is: 355,753.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,688.59 : 637,162.35 = 257,779.60 : x
  2. Step 2: Convert to fraction form
    461,688.59/637,162.35 = 257,779.60/x
  3. Step 3: Cross multiply
    461,688.59x = 637,162.35 × 257,779.60
  4. Step 4: Simplify right side
    461,688.59x = 164,247,454,608.49
  5. Step 5: Solve for x
    x = 164,247,454,608.49/461,688.59
  6. Step 6: Final answer
    x = 355,753.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.