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Finding the Fourth Proportional to 461,566.40, 690,813.60 and 334,846.40

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Solution

The fourth proportional to 461,566.40, 690,813.60 and 334,846.40 is: 501,155.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,566.40 : 690,813.60 = 334,846.40 : x
  2. Step 2: Convert to fraction form
    461,566.40/690,813.60 = 334,846.40/x
  3. Step 3: Cross multiply
    461,566.40x = 690,813.60 × 334,846.40
  4. Step 4: Simplify right side
    461,566.40x = 231,316,447,031.04
  5. Step 5: Solve for x
    x = 231,316,447,031.04/461,566.40
  6. Step 6: Final answer
    x = 501,155.30

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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.