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Finding the Fourth Proportional to 285,713.12, 428,641.10 and 201,637.40

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Solution

The fourth proportional to 285,713.12, 428,641.10 and 201,637.40 is: 302,506.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,713.12 : 428,641.10 = 201,637.40 : x
  2. Step 2: Convert to fraction form
    285,713.12/428,641.10 = 201,637.40/x
  3. Step 3: Cross multiply
    285,713.12x = 428,641.10 × 201,637.40
  4. Step 4: Simplify right side
    285,713.12x = 86,430,076,937.14
  5. Step 5: Solve for x
    x = 86,430,076,937.14/285,713.12
  6. Step 6: Final answer
    x = 302,506.50

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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.