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Finding the Fourth Proportional to 429,033.58, 594,778.87 and 406,283.31

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Solution

The fourth proportional to 429,033.58, 594,778.87 and 406,283.31 is: 563,239.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,033.58 : 594,778.87 = 406,283.31 : x
  2. Step 2: Convert to fraction form
    429,033.58/594,778.87 = 406,283.31/x
  3. Step 3: Cross multiply
    429,033.58x = 594,778.87 × 406,283.31
  4. Step 4: Simplify right side
    429,033.58x = 241,648,726,244.17
  5. Step 5: Solve for x
    x = 241,648,726,244.17/429,033.58
  6. Step 6: Final answer
    x = 563,239.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.