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Finding the Fourth Proportional to 615,038.14, 922,551.72 and 194,314

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Solution

The fourth proportional to 615,038.14, 922,551.72 and 194,314 is: 291,469.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,038.14 : 922,551.72 = 194,314 : x
  2. Step 2: Convert to fraction form
    615,038.14/922,551.72 = 194,314/x
  3. Step 3: Cross multiply
    615,038.14x = 922,551.72 × 194,314
  4. Step 4: Simplify right side
    615,038.14x = 179,264,714,920.08
  5. Step 5: Solve for x
    x = 179,264,714,920.08/615,038.14
  6. Step 6: Final answer
    x = 291,469.27

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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.