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Finding the Fourth Proportional to 571,269.66, 857,024.64 and 216,275.82

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Solution

The fourth proportional to 571,269.66, 857,024.64 and 216,275.82 is: 324,459.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,269.66 : 857,024.64 = 216,275.82 : x
  2. Step 2: Convert to fraction form
    571,269.66/857,024.64 = 216,275.82/x
  3. Step 3: Cross multiply
    571,269.66x = 857,024.64 × 216,275.82
  4. Step 4: Simplify right side
    571,269.66x = 185,353,706,776.21
  5. Step 5: Solve for x
    x = 185,353,706,776.21/571,269.66
  6. Step 6: Final answer
    x = 324,459.22

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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.