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Finding the Fourth Proportional to 309,736.50, 463,854.48 and 157,533.14

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Solution

The fourth proportional to 309,736.50, 463,854.48 and 157,533.14 is: 235,918.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,736.50 : 463,854.48 = 157,533.14 : x
  2. Step 2: Convert to fraction form
    309,736.50/463,854.48 = 157,533.14/x
  3. Step 3: Cross multiply
    309,736.50x = 463,854.48 × 157,533.14
  4. Step 4: Simplify right side
    309,736.50x = 73,072,452,737.47
  5. Step 5: Solve for x
    x = 73,072,452,737.47/309,736.50
  6. Step 6: Final answer
    x = 235,918.12

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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.