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Finding the Fourth Proportional to 557,578.64, 836,368.62 and 152,774.30

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Solution

The fourth proportional to 557,578.64, 836,368.62 and 152,774.30 is: 229,161.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,578.64 : 836,368.62 = 152,774.30 : x
  2. Step 2: Convert to fraction form
    557,578.64/836,368.62 = 152,774.30/x
  3. Step 3: Cross multiply
    557,578.64x = 836,368.62 × 152,774.30
  4. Step 4: Simplify right side
    557,578.64x = 127,775,630,462.47
  5. Step 5: Solve for x
    x = 127,775,630,462.47/557,578.64
  6. Step 6: Final answer
    x = 229,161.63

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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.