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Finding the Fourth Proportional to 922,476.34, 1,384,114.16 and 495,514.02

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Solution

The fourth proportional to 922,476.34, 1,384,114.16 and 495,514.02 is: 743,485.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,476.34 : 1,384,114.16 = 495,514.02 : x
  2. Step 2: Convert to fraction form
    922,476.34/1,384,114.16 = 495,514.02/x
  3. Step 3: Cross multiply
    922,476.34x = 1,384,114.16 × 495,514.02
  4. Step 4: Simplify right side
    922,476.34x = 685,847,971,560.52
  5. Step 5: Solve for x
    x = 685,847,971,560.52/922,476.34
  6. Step 6: Final answer
    x = 743,485.70

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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.