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Finding the Fourth Proportional to 495,533.08, 683,893.02 and 465,132.16

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Solution

The fourth proportional to 495,533.08, 683,893.02 and 465,132.16 is: 641,936.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,533.08 : 683,893.02 = 465,132.16 : x
  2. Step 2: Convert to fraction form
    495,533.08/683,893.02 = 465,132.16/x
  3. Step 3: Cross multiply
    495,533.08x = 683,893.02 × 465,132.16
  4. Step 4: Simplify right side
    495,533.08x = 318,100,637,601.52
  5. Step 5: Solve for x
    x = 318,100,637,601.52/495,533.08
  6. Step 6: Final answer
    x = 641,936.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.