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Finding the Fourth Proportional to 601,983.16, 830,770.70 and 357,112.89

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Solution

The fourth proportional to 601,983.16, 830,770.70 and 357,112.89 is: 492,835.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,983.16 : 830,770.70 = 357,112.89 : x
  2. Step 2: Convert to fraction form
    601,983.16/830,770.70 = 357,112.89/x
  3. Step 3: Cross multiply
    601,983.16x = 830,770.70 × 357,112.89
  4. Step 4: Simplify right side
    601,983.16x = 296,678,923,818.76
  5. Step 5: Solve for x
    x = 296,678,923,818.76/601,983.16
  6. Step 6: Final answer
    x = 492,835.92

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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.