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Finding the Fourth Proportional to 569,550.72, 785,970.24 and 406,507.44

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Solution

The fourth proportional to 569,550.72, 785,970.24 and 406,507.44 is: 560,973.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,550.72 : 785,970.24 = 406,507.44 : x
  2. Step 2: Convert to fraction form
    569,550.72/785,970.24 = 406,507.44/x
  3. Step 3: Cross multiply
    569,550.72x = 785,970.24 × 406,507.44
  4. Step 4: Simplify right side
    569,550.72x = 319,502,750,178.59
  5. Step 5: Solve for x
    x = 319,502,750,178.59/569,550.72
  6. Step 6: Final answer
    x = 560,973.31

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1.5x scale

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.