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Finding the Fourth Proportional to 460,300.50, 690,459.39 and 127,885.14

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Solution

The fourth proportional to 460,300.50, 690,459.39 and 127,885.14 is: 191,830.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,300.50 : 690,459.39 = 127,885.14 : x
  2. Step 2: Convert to fraction form
    460,300.50/690,459.39 = 127,885.14/x
  3. Step 3: Cross multiply
    460,300.50x = 690,459.39 × 127,885.14
  4. Step 4: Simplify right side
    460,300.50x = 88,299,495,754.46
  5. Step 5: Solve for x
    x = 88,299,495,754.46/460,300.50
  6. Step 6: Final answer
    x = 191,830.11

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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.