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Finding the Fourth Proportional to 470,855.40, 706,283.10 and 155,295.60

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Solution

The fourth proportional to 470,855.40, 706,283.10 and 155,295.60 is: 232,943.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,855.40 : 706,283.10 = 155,295.60 : x
  2. Step 2: Convert to fraction form
    470,855.40/706,283.10 = 155,295.60/x
  3. Step 3: Cross multiply
    470,855.40x = 706,283.10 × 155,295.60
  4. Step 4: Simplify right side
    470,855.40x = 109,682,657,784.36
  5. Step 5: Solve for x
    x = 109,682,657,784.36/470,855.40
  6. Step 6: Final answer
    x = 232,943.40

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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.