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Finding the Fourth Proportional to 701,829.71, 968,773.19 and 415,349.12

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Solution

The fourth proportional to 701,829.71, 968,773.19 and 415,349.12 is: 573,328.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,829.71 : 968,773.19 = 415,349.12 : x
  2. Step 2: Convert to fraction form
    701,829.71/968,773.19 = 415,349.12/x
  3. Step 3: Cross multiply
    701,829.71x = 968,773.19 × 415,349.12
  4. Step 4: Simplify right side
    701,829.71x = 402,379,091,946.09
  5. Step 5: Solve for x
    x = 402,379,091,946.09/701,829.71
  6. Step 6: Final answer
    x = 573,328.67

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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.