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Finding the Fourth Proportional to 615,772.68, 923,684.94 and 195,039.24

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Solution

The fourth proportional to 615,772.68, 923,684.94 and 195,039.24 is: 292,567.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,772.68 : 923,684.94 = 195,039.24 : x
  2. Step 2: Convert to fraction form
    615,772.68/923,684.94 = 195,039.24/x
  3. Step 3: Cross multiply
    615,772.68x = 923,684.94 × 195,039.24
  4. Step 4: Simplify right side
    615,772.68x = 180,154,808,697.05
  5. Step 5: Solve for x
    x = 180,154,808,697.05/615,772.68
  6. Step 6: Final answer
    x = 292,567.07

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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.