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Finding the Fourth Proportional to 615,148.64, 922,717.29 and 194,424.74

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Solution

The fourth proportional to 615,148.64, 922,717.29 and 194,424.74 is: 291,635.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,148.64 : 922,717.29 = 194,424.74 : x
  2. Step 2: Convert to fraction form
    615,148.64/922,717.29 = 194,424.74/x
  3. Step 3: Cross multiply
    615,148.64x = 922,717.29 × 194,424.74
  4. Step 4: Simplify right side
    615,148.64x = 179,399,069,201.76
  5. Step 5: Solve for x
    x = 179,399,069,201.76/615,148.64
  6. Step 6: Final answer
    x = 291,635.32

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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.