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Finding the Fourth Proportional to 584,147.86, 877,857.63 and 347,527.06

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Solution

The fourth proportional to 584,147.86, 877,857.63 and 347,527.06 is: 522,263.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,147.86 : 877,857.63 = 347,527.06 : x
  2. Step 2: Convert to fraction form
    584,147.86/877,857.63 = 347,527.06/x
  3. Step 3: Cross multiply
    584,147.86x = 877,857.63 × 347,527.06
  4. Step 4: Simplify right side
    584,147.86x = 305,079,281,252.47
  5. Step 5: Solve for x
    x = 305,079,281,252.47/584,147.86
  6. Step 6: Final answer
    x = 522,263.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.