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Finding the Fourth Proportional to 470,940.80, 706,411.20 and 329,223.20

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Solution

The fourth proportional to 470,940.80, 706,411.20 and 329,223.20 is: 493,834.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,940.80 : 706,411.20 = 329,223.20 : x
  2. Step 2: Convert to fraction form
    470,940.80/706,411.20 = 329,223.20/x
  3. Step 3: Cross multiply
    470,940.80x = 706,411.20 × 329,223.20
  4. Step 4: Simplify right side
    470,940.80x = 232,566,955,779.84
  5. Step 5: Solve for x
    x = 232,566,955,779.84/470,940.80
  6. Step 6: Final answer
    x = 493,834.80

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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.