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Finding the Fourth Proportional to 584,148.86, 877,859.13 and 347,528.06

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Solution

The fourth proportional to 584,148.86, 877,859.13 and 347,528.06 is: 522,265.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,148.86 : 877,859.13 = 347,528.06 : x
  2. Step 2: Convert to fraction form
    584,148.86/877,859.13 = 347,528.06/x
  3. Step 3: Cross multiply
    584,148.86x = 877,859.13 × 347,528.06
  4. Step 4: Simplify right side
    584,148.86x = 305,080,680,402.19
  5. Step 5: Solve for x
    x = 305,080,680,402.19/584,148.86
  6. Step 6: Final answer
    x = 522,265.30

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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.