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Finding the Fourth Proportional to 411,431.40, 616,925.16 and 186,669.23

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Solution

The fourth proportional to 411,431.40, 616,925.16 and 186,669.23 is: 279,903.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,431.40 : 616,925.16 = 186,669.23 : x
  2. Step 2: Convert to fraction form
    411,431.40/616,925.16 = 186,669.23/x
  3. Step 3: Cross multiply
    411,431.40x = 616,925.16 × 186,669.23
  4. Step 4: Simplify right side
    411,431.40x = 115,160,941,500.20
  5. Step 5: Solve for x
    x = 115,160,941,500.20/411,431.40
  6. Step 6: Final answer
    x = 279,903.14

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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.