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Finding the Fourth Proportional to 706,529.07, 974,508.80 and 434,239.47

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Solution

The fourth proportional to 706,529.07, 974,508.80 and 434,239.47 is: 598,942.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,529.07 : 974,508.80 = 434,239.47 : x
  2. Step 2: Convert to fraction form
    706,529.07/974,508.80 = 434,239.47/x
  3. Step 3: Cross multiply
    706,529.07x = 974,508.80 × 434,239.47
  4. Step 4: Simplify right side
    706,529.07x = 423,170,182,651.14
  5. Step 5: Solve for x
    x = 423,170,182,651.14/706,529.07
  6. Step 6: Final answer
    x = 598,942.35

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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.