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Finding the Fourth Proportional to 466,253.37, 643,275.54 and 282,423.87

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Solution

The fourth proportional to 466,253.37, 643,275.54 and 282,423.87 is: 389,651.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,253.37 : 643,275.54 = 282,423.87 : x
  2. Step 2: Convert to fraction form
    466,253.37/643,275.54 = 282,423.87/x
  3. Step 3: Cross multiply
    466,253.37x = 643,275.54 × 282,423.87
  4. Step 4: Simplify right side
    466,253.37x = 181,676,367,483.14
  5. Step 5: Solve for x
    x = 181,676,367,483.14/466,253.37
  6. Step 6: Final answer
    x = 389,651.59

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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.