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Finding the Fourth Proportional to 404,274.10, 606,411.15 and 286,176.10

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Solution

The fourth proportional to 404,274.10, 606,411.15 and 286,176.10 is: 429,264.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,274.10 : 606,411.15 = 286,176.10 : x
  2. Step 2: Convert to fraction form
    404,274.10/606,411.15 = 286,176.10/x
  3. Step 3: Cross multiply
    404,274.10x = 606,411.15 × 286,176.10
  4. Step 4: Simplify right side
    404,274.10x = 173,540,377,903.52
  5. Step 5: Solve for x
    x = 173,540,377,903.52/404,274.10
  6. Step 6: Final answer
    x = 429,264.15

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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.