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Finding the Fourth Proportional to 409,602.24, 614,402.88 and 114,114.24

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Solution

The fourth proportional to 409,602.24, 614,402.88 and 114,114.24 is: 171,171.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,602.24 : 614,402.88 = 114,114.24 : x
  2. Step 2: Convert to fraction form
    409,602.24/614,402.88 = 114,114.24/x
  3. Step 3: Cross multiply
    409,602.24x = 614,402.88 × 114,114.24
  4. Step 4: Simplify right side
    409,602.24x = 70,112,117,705.01
  5. Step 5: Solve for x
    x = 70,112,117,705.01/409,602.24
  6. Step 6: Final answer
    x = 171,171.23

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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.