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Finding the Fourth Proportional to 409,811.40, 614,717.10 and 401,938.20

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Solution

The fourth proportional to 409,811.40, 614,717.10 and 401,938.20 is: 602,907.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,811.40 : 614,717.10 = 401,938.20 : x
  2. Step 2: Convert to fraction form
    409,811.40/614,717.10 = 401,938.20/x
  3. Step 3: Cross multiply
    409,811.40x = 614,717.10 × 401,938.20
  4. Step 4: Simplify right side
    409,811.40x = 247,078,284,683.22
  5. Step 5: Solve for x
    x = 247,078,284,683.22/409,811.40
  6. Step 6: Final answer
    x = 602,907.30

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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.