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Finding the Fourth Proportional to 496,177.60, 744,266.40 and 470,516.80

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Solution

The fourth proportional to 496,177.60, 744,266.40 and 470,516.80 is: 705,775.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,177.60 : 744,266.40 = 470,516.80 : x
  2. Step 2: Convert to fraction form
    496,177.60/744,266.40 = 470,516.80/x
  3. Step 3: Cross multiply
    496,177.60x = 744,266.40 × 470,516.80
  4. Step 4: Simplify right side
    496,177.60x = 350,189,844,875.52
  5. Step 5: Solve for x
    x = 350,189,844,875.52/496,177.60
  6. Step 6: Final answer
    x = 705,775.20

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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.