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Finding the Fourth Proportional to 286,522.52, 429,798.06 and 109,043.29

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Solution

The fourth proportional to 286,522.52, 429,798.06 and 109,043.29 is: 163,570.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,522.52 : 429,798.06 = 109,043.29 : x
  2. Step 2: Convert to fraction form
    286,522.52/429,798.06 = 109,043.29/x
  3. Step 3: Cross multiply
    286,522.52x = 429,798.06 × 109,043.29
  4. Step 4: Simplify right side
    286,522.52x = 46,866,594,498.02
  5. Step 5: Solve for x
    x = 46,866,594,498.02/286,522.52
  6. Step 6: Final answer
    x = 163,570.37

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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.