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Finding the Fourth Proportional to 614,325.82, 921,426.44 and 164,988.32

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Solution

The fourth proportional to 614,325.82, 921,426.44 and 164,988.32 is: 247,465.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,325.82 : 921,426.44 = 164,988.32 : x
  2. Step 2: Convert to fraction form
    614,325.82/921,426.44 = 164,988.32/x
  3. Step 3: Cross multiply
    614,325.82x = 921,426.44 × 164,988.32
  4. Step 4: Simplify right side
    614,325.82x = 152,024,600,339.18
  5. Step 5: Solve for x
    x = 152,024,600,339.18/614,325.82
  6. Step 6: Final answer
    x = 247,465.75

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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.