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Finding the Fourth Proportional to 470,855.70, 706,283.55 and 155,271.60

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Solution

The fourth proportional to 470,855.70, 706,283.55 and 155,271.60 is: 232,907.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,855.70 : 706,283.55 = 155,271.60 : x
  2. Step 2: Convert to fraction form
    470,855.70/706,283.55 = 155,271.60/x
  3. Step 3: Cross multiply
    470,855.70x = 706,283.55 × 155,271.60
  4. Step 4: Simplify right side
    470,855.70x = 109,665,776,862.18
  5. Step 5: Solve for x
    x = 109,665,776,862.18/470,855.70
  6. Step 6: Final answer
    x = 232,907.40

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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.