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Finding the Fourth Proportional to 1,834,405.78, 2,749,509.15 and 711,512.50

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Solution

The fourth proportional to 1,834,405.78, 2,749,509.15 and 711,512.50 is: 1,066,454.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834,405.78 : 2,749,509.15 = 711,512.50 : x
  2. Step 2: Convert to fraction form
    1,834,405.78/2,749,509.15 = 711,512.50/x
  3. Step 3: Cross multiply
    1,834,405.78x = 2,749,509.15 × 711,512.50
  4. Step 4: Simplify right side
    1,834,405.78x = 1,956,310,129,089.38
  5. Step 5: Solve for x
    x = 1,956,310,129,089.38/1,834,405.78
  6. Step 6: Final answer
    x = 1,066,454.41

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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.