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Finding the Fourth Proportional to 614,352.66, 921,529.28 and 193,661.34

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Solution

The fourth proportional to 614,352.66, 921,529.28 and 193,661.34 is: 290,492.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,352.66 : 921,529.28 = 193,661.34 : x
  2. Step 2: Convert to fraction form
    614,352.66/921,529.28 = 193,661.34/x
  3. Step 3: Cross multiply
    614,352.66x = 921,529.28 × 193,661.34
  4. Step 4: Simplify right side
    614,352.66x = 178,464,595,214.04
  5. Step 5: Solve for x
    x = 178,464,595,214.04/614,352.66
  6. Step 6: Final answer
    x = 290,492.10

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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.