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Finding the Fourth Proportional to 614,730.84, 922,096.26 and 480,022.58

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Solution

The fourth proportional to 614,730.84, 922,096.26 and 480,022.58 is: 720,033.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,730.84 : 922,096.26 = 480,022.58 : x
  2. Step 2: Convert to fraction form
    614,730.84/922,096.26 = 480,022.58/x
  3. Step 3: Cross multiply
    614,730.84x = 922,096.26 × 480,022.58
  4. Step 4: Simplify right side
    614,730.84x = 442,627,021,123.07
  5. Step 5: Solve for x
    x = 442,627,021,123.07/614,730.84
  6. Step 6: Final answer
    x = 720,033.86

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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.