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Finding the Fourth Proportional to 314,405.51, 434,320.65 and 280,403.06

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Solution

The fourth proportional to 314,405.51, 434,320.65 and 280,403.06 is: 387,349.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,405.51 : 434,320.65 = 280,403.06 : x
  2. Step 2: Convert to fraction form
    314,405.51/434,320.65 = 280,403.06/x
  3. Step 3: Cross multiply
    314,405.51x = 434,320.65 × 280,403.06
  4. Step 4: Simplify right side
    314,405.51x = 121,784,837,109.59
  5. Step 5: Solve for x
    x = 121,784,837,109.59/314,405.51
  6. Step 6: Final answer
    x = 387,349.57

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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.