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Finding the Fourth Proportional to 530,315.74, 731,859.82 and 312,533.60

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Solution

The fourth proportional to 530,315.74, 731,859.82 and 312,533.60 is: 431,310.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,315.74 : 731,859.82 = 312,533.60 : x
  2. Step 2: Convert to fraction form
    530,315.74/731,859.82 = 312,533.60/x
  3. Step 3: Cross multiply
    530,315.74x = 731,859.82 × 312,533.60
  4. Step 4: Simplify right side
    530,315.74x = 228,730,784,505.71
  5. Step 5: Solve for x
    x = 228,730,784,505.71/530,315.74
  6. Step 6: Final answer
    x = 431,310.57

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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.