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Finding the Fourth Proportional to 569,051.25, 785,267.36 and 310,937.06

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Solution

The fourth proportional to 569,051.25, 785,267.36 and 310,937.06 is: 429,080.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,051.25 : 785,267.36 = 310,937.06 : x
  2. Step 2: Convert to fraction form
    569,051.25/785,267.36 = 310,937.06/x
  3. Step 3: Cross multiply
    569,051.25x = 785,267.36 × 310,937.06
  4. Step 4: Simplify right side
    569,051.25x = 244,168,725,577.09
  5. Step 5: Solve for x
    x = 244,168,725,577.09/569,051.25
  6. Step 6: Final answer
    x = 429,080.37

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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.