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Finding the Fourth Proportional to 435,815.82, 601,421.58 and 242,223.96

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Solution

The fourth proportional to 435,815.82, 601,421.58 and 242,223.96 is: 334,266.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,815.82 : 601,421.58 = 242,223.96 : x
  2. Step 2: Convert to fraction form
    435,815.82/601,421.58 = 242,223.96/x
  3. Step 3: Cross multiply
    435,815.82x = 601,421.58 × 242,223.96
  4. Step 4: Simplify right side
    435,815.82x = 145,678,716,737.06
  5. Step 5: Solve for x
    x = 145,678,716,737.06/435,815.82
  6. Step 6: Final answer
    x = 334,266.70

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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.