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Finding the Fourth Proportional to 832,627, 1,149,023.10 and 450,653.68

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Solution

The fourth proportional to 832,627, 1,149,023.10 and 450,653.68 is: 621,900.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,627 : 1,149,023.10 = 450,653.68 : x
  2. Step 2: Convert to fraction form
    832,627/1,149,023.10 = 450,653.68/x
  3. Step 3: Cross multiply
    832,627x = 1,149,023.10 × 450,653.68
  4. Step 4: Simplify right side
    832,627x = 517,811,488,420.01
  5. Step 5: Solve for x
    x = 517,811,488,420.01/832,627
  6. Step 6: Final answer
    x = 621,900.91

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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.