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Finding the Fourth Proportional to 402,344.50, 602,597.94 and 192,130.06

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Solution

The fourth proportional to 402,344.50, 602,597.94 and 192,130.06 is: 287,756.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,344.50 : 602,597.94 = 192,130.06 : x
  2. Step 2: Convert to fraction form
    402,344.50/602,597.94 = 192,130.06/x
  3. Step 3: Cross multiply
    402,344.50x = 602,597.94 × 192,130.06
  4. Step 4: Simplify right side
    402,344.50x = 115,777,178,368.08
  5. Step 5: Solve for x
    x = 115,777,178,368.08/402,344.50
  6. Step 6: Final answer
    x = 287,756.33

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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.