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Finding the Fourth Proportional to 778,548.63, 1,074,395.64 and 434,364.09

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Solution

The fourth proportional to 778,548.63, 1,074,395.64 and 434,364.09 is: 599,421.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,548.63 : 1,074,395.64 = 434,364.09 : x
  2. Step 2: Convert to fraction form
    778,548.63/1,074,395.64 = 434,364.09/x
  3. Step 3: Cross multiply
    778,548.63x = 1,074,395.64 × 434,364.09
  4. Step 4: Simplify right side
    778,548.63x = 466,678,884,468.57
  5. Step 5: Solve for x
    x = 466,678,884,468.57/778,548.63
  6. Step 6: Final answer
    x = 599,421.62

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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.