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Finding the Fourth Proportional to 569,347.86, 785,763.97 and 342,988.50

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Solution

The fourth proportional to 569,347.86, 785,763.97 and 342,988.50 is: 473,362.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,347.86 : 785,763.97 = 342,988.50 : x
  2. Step 2: Convert to fraction form
    569,347.86/785,763.97 = 342,988.50/x
  3. Step 3: Cross multiply
    569,347.86x = 785,763.97 × 342,988.50
  4. Step 4: Simplify right side
    569,347.86x = 269,508,005,424.35
  5. Step 5: Solve for x
    x = 269,508,005,424.35/569,347.86
  6. Step 6: Final answer
    x = 473,362.64

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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.