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Finding the Fourth Proportional to 410,729.40, 616,094.10 and 233,782.20

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Solution

The fourth proportional to 410,729.40, 616,094.10 and 233,782.20 is: 350,673.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,729.40 : 616,094.10 = 233,782.20 : x
  2. Step 2: Convert to fraction form
    410,729.40/616,094.10 = 233,782.20/x
  3. Step 3: Cross multiply
    410,729.40x = 616,094.10 × 233,782.20
  4. Step 4: Simplify right side
    410,729.40x = 144,031,834,105.02
  5. Step 5: Solve for x
    x = 144,031,834,105.02/410,729.40
  6. Step 6: Final answer
    x = 350,673.30

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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.