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Finding the Fourth Proportional to 620,460.40, 929,706.45 and 409,852.30

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Solution

The fourth proportional to 620,460.40, 929,706.45 and 409,852.30 is: 614,128.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,460.40 : 929,706.45 = 409,852.30 : x
  2. Step 2: Convert to fraction form
    620,460.40/929,706.45 = 409,852.30/x
  3. Step 3: Cross multiply
    620,460.40x = 929,706.45 × 409,852.30
  4. Step 4: Simplify right side
    620,460.40x = 381,042,326,857.34
  5. Step 5: Solve for x
    x = 381,042,326,857.34/620,460.40
  6. Step 6: Final answer
    x = 614,128.36

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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.