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Finding the Fourth Proportional to 470,852.20, 706,278.30 and 452,481.40

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Solution

The fourth proportional to 470,852.20, 706,278.30 and 452,481.40 is: 678,722.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,852.20 : 706,278.30 = 452,481.40 : x
  2. Step 2: Convert to fraction form
    470,852.20/706,278.30 = 452,481.40/x
  3. Step 3: Cross multiply
    470,852.20x = 706,278.30 × 452,481.40
  4. Step 4: Simplify right side
    470,852.20x = 319,577,793,973.62
  5. Step 5: Solve for x
    x = 319,577,793,973.62/470,852.20
  6. Step 6: Final answer
    x = 678,722.10

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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.