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Finding the Fourth Proportional to 346,451.60, 478,433.36 and 327,582.58

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Solution

The fourth proportional to 346,451.60, 478,433.36 and 327,582.58 is: 452,376.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,451.60 : 478,433.36 = 327,582.58 : x
  2. Step 2: Convert to fraction form
    346,451.60/478,433.36 = 327,582.58/x
  3. Step 3: Cross multiply
    346,451.60x = 478,433.36 × 327,582.58
  4. Step 4: Simplify right side
    346,451.60x = 156,726,434,426.87
  5. Step 5: Solve for x
    x = 156,726,434,426.87/346,451.60
  6. Step 6: Final answer
    x = 452,376.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.