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Finding the Fourth Proportional to 461,638.40, 692,511.60 and 146,127.20

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Solution

The fourth proportional to 461,638.40, 692,511.60 and 146,127.20 is: 219,207.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,638.40 : 692,511.60 = 146,127.20 : x
  2. Step 2: Convert to fraction form
    461,638.40/692,511.60 = 146,127.20/x
  3. Step 3: Cross multiply
    461,638.40x = 692,511.60 × 146,127.20
  4. Step 4: Simplify right side
    461,638.40x = 101,194,781,075.52
  5. Step 5: Solve for x
    x = 101,194,781,075.52/461,638.40
  6. Step 6: Final answer
    x = 219,207.89

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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.