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Finding the Fourth Proportional to 614,539.28, 922,094.04 and 259,636.16

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Solution

The fourth proportional to 614,539.28, 922,094.04 and 259,636.16 is: 389,574.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,539.28 : 922,094.04 = 259,636.16 : x
  2. Step 2: Convert to fraction form
    614,539.28/922,094.04 = 259,636.16/x
  3. Step 3: Cross multiply
    614,539.28x = 922,094.04 × 259,636.16
  4. Step 4: Simplify right side
    614,539.28x = 239,408,955,704.49
  5. Step 5: Solve for x
    x = 239,408,955,704.49/614,539.28
  6. Step 6: Final answer
    x = 389,574.70

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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.