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Finding the Fourth Proportional to 569,356, 785,711.28 and 343,048.48

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Solution

The fourth proportional to 569,356, 785,711.28 and 343,048.48 is: 473,406.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,356 : 785,711.28 = 343,048.48 : x
  2. Step 2: Convert to fraction form
    569,356/785,711.28 = 343,048.48/x
  3. Step 3: Cross multiply
    569,356x = 785,711.28 × 343,048.48
  4. Step 4: Simplify right side
    569,356x = 269,537,060,322.85
  5. Step 5: Solve for x
    x = 269,537,060,322.85/569,356
  6. Step 6: Final answer
    x = 473,406.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.