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Finding the Fourth Proportional to 974,374.11, 1,461,495.56 and 343,205.91

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Solution

The fourth proportional to 974,374.11, 1,461,495.56 and 343,205.91 is: 514,785.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,374.11 : 1,461,495.56 = 343,205.91 : x
  2. Step 2: Convert to fraction form
    974,374.11/1,461,495.56 = 343,205.91/x
  3. Step 3: Cross multiply
    974,374.11x = 1,461,495.56 × 343,205.91
  4. Step 4: Simplify right side
    974,374.11x = 501,593,911,914.73
  5. Step 5: Solve for x
    x = 501,593,911,914.73/974,374.11
  6. Step 6: Final answer
    x = 514,785.76

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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.