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Finding the Fourth Proportional to 897,096, 1,345,903.76 and 266,025.04

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Solution

The fourth proportional to 897,096, 1,345,903.76 and 266,025.04 is: 399,114.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,096 : 1,345,903.76 = 266,025.04 : x
  2. Step 2: Convert to fraction form
    897,096/1,345,903.76 = 266,025.04/x
  3. Step 3: Cross multiply
    897,096x = 1,345,903.76 × 266,025.04
  4. Step 4: Simplify right side
    897,096x = 358,044,101,590.15
  5. Step 5: Solve for x
    x = 358,044,101,590.15/897,096
  6. Step 6: Final answer
    x = 399,114.59

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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.