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Finding the Fourth Proportional to 468,878.64, 646,814.61 and 296,506.14

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Solution

The fourth proportional to 468,878.64, 646,814.61 and 296,506.14 is: 409,028.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,878.64 : 646,814.61 = 296,506.14 : x
  2. Step 2: Convert to fraction form
    468,878.64/646,814.61 = 296,506.14/x
  3. Step 3: Cross multiply
    468,878.64x = 646,814.61 × 296,506.14
  4. Step 4: Simplify right side
    468,878.64x = 191,784,503,306.71
  5. Step 5: Solve for x
    x = 191,784,503,306.71/468,878.64
  6. Step 6: Final answer
    x = 409,028.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.