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Finding the Fourth Proportional to 433,570.38, 598,387.47 and 242,596.74

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Solution

The fourth proportional to 433,570.38, 598,387.47 and 242,596.74 is: 334,817.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,570.38 : 598,387.47 = 242,596.74 : x
  2. Step 2: Convert to fraction form
    433,570.38/598,387.47 = 242,596.74/x
  3. Step 3: Cross multiply
    433,570.38x = 598,387.47 × 242,596.74
  4. Step 4: Simplify right side
    433,570.38x = 145,166,849,478.85
  5. Step 5: Solve for x
    x = 145,166,849,478.85/433,570.38
  6. Step 6: Final answer
    x = 334,817.27

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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.