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Finding the Fourth Proportional to 701,533.38, 967,886.60 and 429,317.48

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Solution

The fourth proportional to 701,533.38, 967,886.60 and 429,317.48 is: 592,317.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,533.38 : 967,886.60 = 429,317.48 : x
  2. Step 2: Convert to fraction form
    701,533.38/967,886.60 = 429,317.48/x
  3. Step 3: Cross multiply
    701,533.38x = 967,886.60 × 429,317.48
  4. Step 4: Simplify right side
    701,533.38x = 415,530,636,037.77
  5. Step 5: Solve for x
    x = 415,530,636,037.77/701,533.38
  6. Step 6: Final answer
    x = 592,317.70

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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.