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Finding the Fourth Proportional to 286,459.07, 431,402.32 and 260,921.52

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Solution

The fourth proportional to 286,459.07, 431,402.32 and 260,921.52 is: 392,943.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,459.07 : 431,402.32 = 260,921.52 : x
  2. Step 2: Convert to fraction form
    286,459.07/431,402.32 = 260,921.52/x
  3. Step 3: Cross multiply
    286,459.07x = 431,402.32 × 260,921.52
  4. Step 4: Simplify right side
    286,459.07x = 112,562,149,392.08
  5. Step 5: Solve for x
    x = 112,562,149,392.08/286,459.07
  6. Step 6: Final answer
    x = 392,943.23

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.