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Finding the Fourth Proportional to 301,488.68, 415,935.94 and 180,635.04

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Solution

The fourth proportional to 301,488.68, 415,935.94 and 180,635.04 is: 249,205.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,488.68 : 415,935.94 = 180,635.04 : x
  2. Step 2: Convert to fraction form
    301,488.68/415,935.94 = 180,635.04/x
  3. Step 3: Cross multiply
    301,488.68x = 415,935.94 × 180,635.04
  4. Step 4: Simplify right side
    301,488.68x = 75,132,605,159.34
  5. Step 5: Solve for x
    x = 75,132,605,159.34/301,488.68
  6. Step 6: Final answer
    x = 249,205.39

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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.