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Finding the Fourth Proportional to 286,387.24, 429,416.24 and 118,023.80

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Solution

The fourth proportional to 286,387.24, 429,416.24 and 118,023.80 is: 176,967.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,387.24 : 429,416.24 = 118,023.80 : x
  2. Step 2: Convert to fraction form
    286,387.24/429,416.24 = 118,023.80/x
  3. Step 3: Cross multiply
    286,387.24x = 429,416.24 × 118,023.80
  4. Step 4: Simplify right side
    286,387.24x = 50,681,336,426.51
  5. Step 5: Solve for x
    x = 50,681,336,426.51/286,387.24
  6. Step 6: Final answer
    x = 176,967.86

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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.