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Finding the Fourth Proportional to 463,259.34, 639,304.42 and 266,917.31

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Solution

The fourth proportional to 463,259.34, 639,304.42 and 266,917.31 is: 368,349.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,259.34 : 639,304.42 = 266,917.31 : x
  2. Step 2: Convert to fraction form
    463,259.34/639,304.42 = 266,917.31/x
  3. Step 3: Cross multiply
    463,259.34x = 639,304.42 × 266,917.31
  4. Step 4: Simplify right side
    463,259.34x = 170,641,411,526.40
  5. Step 5: Solve for x
    x = 170,641,411,526.40/463,259.34
  6. Step 6: Final answer
    x = 368,349.64

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1.5x scale

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.