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Finding the Fourth Proportional to 294,283, 406,154.28 and 173,385.64

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Solution

The fourth proportional to 294,283, 406,154.28 and 173,385.64 is: 239,297.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,283 : 406,154.28 = 173,385.64 : x
  2. Step 2: Convert to fraction form
    294,283/406,154.28 = 173,385.64/x
  3. Step 3: Cross multiply
    294,283x = 406,154.28 × 173,385.64
  4. Step 4: Simplify right side
    294,283x = 70,421,319,776.54
  5. Step 5: Solve for x
    x = 70,421,319,776.54/294,283
  6. Step 6: Final answer
    x = 239,297.95

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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.