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Finding the Fourth Proportional to 507,034.39, 759,458.19 and 477,223.87

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Solution

The fourth proportional to 507,034.39, 759,458.19 and 477,223.87 is: 714,806.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,034.39 : 759,458.19 = 477,223.87 : x
  2. Step 2: Convert to fraction form
    507,034.39/759,458.19 = 477,223.87/x
  3. Step 3: Cross multiply
    507,034.39x = 759,458.19 × 477,223.87
  4. Step 4: Simplify right side
    507,034.39x = 362,431,576,535.00
  5. Step 5: Solve for x
    x = 362,431,576,535.00/507,034.39
  6. Step 6: Final answer
    x = 714,806.69

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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.