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Finding the Fourth Proportional to 433,807.38, 598,648.32 and 242,820.72

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Solution

The fourth proportional to 433,807.38, 598,648.32 and 242,820.72 is: 335,089.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,807.38 : 598,648.32 = 242,820.72 : x
  2. Step 2: Convert to fraction form
    433,807.38/598,648.32 = 242,820.72/x
  3. Step 3: Cross multiply
    433,807.38x = 598,648.32 × 242,820.72
  4. Step 4: Simplify right side
    433,807.38x = 145,364,216,089.19
  5. Step 5: Solve for x
    x = 145,364,216,089.19/433,807.38
  6. Step 6: Final answer
    x = 335,089.31

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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.