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Finding the Fourth Proportional to 404,965.10, 607,447.65 and 286,769.90

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Solution

The fourth proportional to 404,965.10, 607,447.65 and 286,769.90 is: 430,154.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,965.10 : 607,447.65 = 286,769.90 : x
  2. Step 2: Convert to fraction form
    404,965.10/607,447.65 = 286,769.90/x
  3. Step 3: Cross multiply
    404,965.10x = 607,447.65 × 286,769.90
  4. Step 4: Simplify right side
    404,965.10x = 174,197,701,845.74
  5. Step 5: Solve for x
    x = 174,197,701,845.74/404,965.10
  6. Step 6: Final answer
    x = 430,154.85

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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.