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Finding the Fourth Proportional to 484,634.40, 727,097.40 and 260,102.40

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Solution

The fourth proportional to 484,634.40, 727,097.40 and 260,102.40 is: 390,231.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,634.40 : 727,097.40 = 260,102.40 : x
  2. Step 2: Convert to fraction form
    484,634.40/727,097.40 = 260,102.40/x
  3. Step 3: Cross multiply
    484,634.40x = 727,097.40 × 260,102.40
  4. Step 4: Simplify right side
    484,634.40x = 189,119,778,773.76
  5. Step 5: Solve for x
    x = 189,119,778,773.76/484,634.40
  6. Step 6: Final answer
    x = 390,231.85

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Why These Related Problems?

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