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Finding the Fourth Proportional to 286,567.64, 429,552.48 and 160,022.36

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Solution

The fourth proportional to 286,567.64, 429,552.48 and 160,022.36 is: 239,866.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,567.64 : 429,552.48 = 160,022.36 : x
  2. Step 2: Convert to fraction form
    286,567.64/429,552.48 = 160,022.36/x
  3. Step 3: Cross multiply
    286,567.64x = 429,552.48 × 160,022.36
  4. Step 4: Simplify right side
    286,567.64x = 68,738,001,593.45
  5. Step 5: Solve for x
    x = 68,738,001,593.45/286,567.64
  6. Step 6: Final answer
    x = 239,866.59

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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.