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Finding the Fourth Proportional to 429,136.02, 592,070.85 and 247,824

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Solution

The fourth proportional to 429,136.02, 592,070.85 and 247,824 is: 341,918.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,136.02 : 592,070.85 = 247,824 : x
  2. Step 2: Convert to fraction form
    429,136.02/592,070.85 = 247,824/x
  3. Step 3: Cross multiply
    429,136.02x = 592,070.85 × 247,824
  4. Step 4: Simplify right side
    429,136.02x = 146,729,366,330.40
  5. Step 5: Solve for x
    x = 146,729,366,330.40/429,136.02
  6. Step 6: Final answer
    x = 341,918.09

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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.