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Finding the Fourth Proportional to 832,841.24, 1,249,776 and 327,313.35

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Solution

The fourth proportional to 832,841.24, 1,249,776 and 327,313.35 is: 491,172.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,841.24 : 1,249,776 = 327,313.35 : x
  2. Step 2: Convert to fraction form
    832,841.24/1,249,776 = 327,313.35/x
  3. Step 3: Cross multiply
    832,841.24x = 1,249,776 × 327,313.35
  4. Step 4: Simplify right side
    832,841.24x = 409,068,369,309.60
  5. Step 5: Solve for x
    x = 409,068,369,309.60/832,841.24
  6. Step 6: Final answer
    x = 491,172.09

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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.