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Finding the Fourth Proportional to 822,033.60, 1,232,128.80 and 348,638.40

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Solution

The fourth proportional to 822,033.60, 1,232,128.80 and 348,638.40 is: 522,566.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,033.60 : 1,232,128.80 = 348,638.40 : x
  2. Step 2: Convert to fraction form
    822,033.60/1,232,128.80 = 348,638.40/x
  3. Step 3: Cross multiply
    822,033.60x = 1,232,128.80 × 348,638.40
  4. Step 4: Simplify right side
    822,033.60x = 429,567,413,425.92
  5. Step 5: Solve for x
    x = 429,567,413,425.92/822,033.60
  6. Step 6: Final answer
    x = 522,566.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.