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Finding the Fourth Proportional to 612,903.40, 917,648.70 and 312,735.40

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Solution

The fourth proportional to 612,903.40, 917,648.70 and 312,735.40 is: 468,232.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,903.40 : 917,648.70 = 312,735.40 : x
  2. Step 2: Convert to fraction form
    612,903.40/917,648.70 = 312,735.40/x
  3. Step 3: Cross multiply
    612,903.40x = 917,648.70 × 312,735.40
  4. Step 4: Simplify right side
    612,903.40x = 286,981,233,253.98
  5. Step 5: Solve for x
    x = 286,981,233,253.98/612,903.40
  6. Step 6: Final answer
    x = 468,232.41

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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.