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Finding the Fourth Proportional to 701,152.60, 967,788.78 and 414,772.24

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Solution

The fourth proportional to 701,152.60, 967,788.78 and 414,772.24 is: 572,502.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,152.60 : 967,788.78 = 414,772.24 : x
  2. Step 2: Convert to fraction form
    701,152.60/967,788.78 = 414,772.24/x
  3. Step 3: Cross multiply
    701,152.60x = 967,788.78 × 414,772.24
  4. Step 4: Simplify right side
    701,152.60x = 401,411,920,127.47
  5. Step 5: Solve for x
    x = 401,411,920,127.47/701,152.60
  6. Step 6: Final answer
    x = 572,502.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.