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Finding the Fourth Proportional to 411,499.19, 616,916.61 and 378,284.13

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Solution

The fourth proportional to 411,499.19, 616,916.61 and 378,284.13 is: 567,120.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,499.19 : 616,916.61 = 378,284.13 : x
  2. Step 2: Convert to fraction form
    411,499.19/616,916.61 = 378,284.13/x
  3. Step 3: Cross multiply
    411,499.19x = 616,916.61 × 378,284.13
  4. Step 4: Simplify right side
    411,499.19x = 233,369,763,096.40
  5. Step 5: Solve for x
    x = 233,369,763,096.40/411,499.19
  6. Step 6: Final answer
    x = 567,120.84

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1.5x scale

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.