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Finding the Fourth Proportional to 284,298.68, 392,320.32 and 155,226.80

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Solution

The fourth proportional to 284,298.68, 392,320.32 and 155,226.80 is: 214,206.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,298.68 : 392,320.32 = 155,226.80 : x
  2. Step 2: Convert to fraction form
    284,298.68/392,320.32 = 155,226.80/x
  3. Step 3: Cross multiply
    284,298.68x = 392,320.32 × 155,226.80
  4. Step 4: Simplify right side
    284,298.68x = 60,898,627,848.58
  5. Step 5: Solve for x
    x = 60,898,627,848.58/284,298.68
  6. Step 6: Final answer
    x = 214,206.51

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