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Finding the Fourth Proportional to 354,039.40, 532,095.90 and 308,420.20

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Solution

The fourth proportional to 354,039.40, 532,095.90 and 308,420.20 is: 463,533.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,039.40 : 532,095.90 = 308,420.20 : x
  2. Step 2: Convert to fraction form
    354,039.40/532,095.90 = 308,420.20/x
  3. Step 3: Cross multiply
    354,039.40x = 532,095.90 × 308,420.20
  4. Step 4: Simplify right side
    354,039.40x = 164,109,123,897.18
  5. Step 5: Solve for x
    x = 164,109,123,897.18/354,039.40
  6. Step 6: Final answer
    x = 463,533.50

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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.