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Finding the Fourth Proportional to 590,689.85, 886,507.71 and 306,461.87

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Solution

The fourth proportional to 590,689.85, 886,507.71 and 306,461.87 is: 459,938.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,689.85 : 886,507.71 = 306,461.87 : x
  2. Step 2: Convert to fraction form
    590,689.85/886,507.71 = 306,461.87/x
  3. Step 3: Cross multiply
    590,689.85x = 886,507.71 × 306,461.87
  4. Step 4: Simplify right side
    590,689.85x = 271,680,806,143.48
  5. Step 5: Solve for x
    x = 271,680,806,143.48/590,689.85
  6. Step 6: Final answer
    x = 459,938.17

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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.