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Finding the Fourth Proportional to 487,228.60, 730,583.70 and 206,428.60

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Solution

The fourth proportional to 487,228.60, 730,583.70 and 206,428.60 is: 309,533.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,228.60 : 730,583.70 = 206,428.60 : x
  2. Step 2: Convert to fraction form
    487,228.60/730,583.70 = 206,428.60/x
  3. Step 3: Cross multiply
    487,228.60x = 730,583.70 × 206,428.60
  4. Step 4: Simplify right side
    487,228.60x = 150,813,370,373.82
  5. Step 5: Solve for x
    x = 150,813,370,373.82/487,228.60
  6. Step 6: Final answer
    x = 309,533.08

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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.