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Finding the Fourth Proportional to 706,271.31, 974,809.19 and 464,577.73

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Solution

The fourth proportional to 706,271.31, 974,809.19 and 464,577.73 is: 641,219.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,271.31 : 974,809.19 = 464,577.73 : x
  2. Step 2: Convert to fraction form
    706,271.31/974,809.19 = 464,577.73/x
  3. Step 3: Cross multiply
    706,271.31x = 974,809.19 × 464,577.73
  4. Step 4: Simplify right side
    706,271.31x = 452,874,640,673.34
  5. Step 5: Solve for x
    x = 452,874,640,673.34/706,271.31
  6. Step 6: Final answer
    x = 641,219.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.