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Finding the Fourth Proportional to 601,675.89, 830,312.87 and 329,754.57

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Solution

The fourth proportional to 601,675.89, 830,312.87 and 329,754.57 is: 455,061.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,675.89 : 830,312.87 = 329,754.57 : x
  2. Step 2: Convert to fraction form
    601,675.89/830,312.87 = 329,754.57/x
  3. Step 3: Cross multiply
    601,675.89x = 830,312.87 × 329,754.57
  4. Step 4: Simplify right side
    601,675.89x = 273,799,461,763.54
  5. Step 5: Solve for x
    x = 273,799,461,763.54/601,675.89
  6. Step 6: Final answer
    x = 455,061.38

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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.