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Finding the Fourth Proportional to 569,153.22, 785,400.60 and 314,488

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Solution

The fourth proportional to 569,153.22, 785,400.60 and 314,488 is: 433,976.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,153.22 : 785,400.60 = 314,488 : x
  2. Step 2: Convert to fraction form
    569,153.22/785,400.60 = 314,488/x
  3. Step 3: Cross multiply
    569,153.22x = 785,400.60 × 314,488
  4. Step 4: Simplify right side
    569,153.22x = 246,999,063,892.80
  5. Step 5: Solve for x
    x = 246,999,063,892.80/569,153.22
  6. Step 6: Final answer
    x = 433,976.40

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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.