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Finding the Fourth Proportional to 473,380.14, 709,916.85 and 157,752.30

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Solution

The fourth proportional to 473,380.14, 709,916.85 and 157,752.30 is: 236,577.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,380.14 : 709,916.85 = 157,752.30 : x
  2. Step 2: Convert to fraction form
    473,380.14/709,916.85 = 157,752.30/x
  3. Step 3: Cross multiply
    473,380.14x = 709,916.85 × 157,752.30
  4. Step 4: Simplify right side
    473,380.14x = 111,991,015,896.26
  5. Step 5: Solve for x
    x = 111,991,015,896.26/473,380.14
  6. Step 6: Final answer
    x = 236,577.34

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1.5x scale

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.