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Finding the Fourth Proportional to 424,710.50, 586,100.57 and 233,723.89

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Solution

The fourth proportional to 424,710.50, 586,100.57 and 233,723.89 is: 322,539.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,710.50 : 586,100.57 = 233,723.89 : x
  2. Step 2: Convert to fraction form
    424,710.50/586,100.57 = 233,723.89/x
  3. Step 3: Cross multiply
    424,710.50x = 586,100.57 × 233,723.89
  4. Step 4: Simplify right side
    424,710.50x = 136,985,702,953.74
  5. Step 5: Solve for x
    x = 136,985,702,953.74/424,710.50
  6. Step 6: Final answer
    x = 322,539.01

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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.