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Finding the Fourth Proportional to 309,302.40, 463,953.60 and 161,539.20

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Solution

The fourth proportional to 309,302.40, 463,953.60 and 161,539.20 is: 242,308.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,302.40 : 463,953.60 = 161,539.20 : x
  2. Step 2: Convert to fraction form
    309,302.40/463,953.60 = 161,539.20/x
  3. Step 3: Cross multiply
    309,302.40x = 463,953.60 × 161,539.20
  4. Step 4: Simplify right side
    309,302.40x = 74,946,693,381.12
  5. Step 5: Solve for x
    x = 74,946,693,381.12/309,302.40
  6. Step 6: Final answer
    x = 242,308.80

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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.