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Finding the Fourth Proportional to 470,952.36, 706,452.98 and 155,433.87

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Solution

The fourth proportional to 470,952.36, 706,452.98 and 155,433.87 is: 233,158.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,952.36 : 706,452.98 = 155,433.87 : x
  2. Step 2: Convert to fraction form
    470,952.36/706,452.98 = 155,433.87/x
  3. Step 3: Cross multiply
    470,952.36x = 706,452.98 × 155,433.87
  4. Step 4: Simplify right side
    470,952.36x = 109,806,719,877.26
  5. Step 5: Solve for x
    x = 109,806,719,877.26/470,952.36
  6. Step 6: Final answer
    x = 233,158.87

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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.