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Finding the Fourth Proportional to 610,702.77, 843,206.61 and 407,233.41

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Solution

The fourth proportional to 610,702.77, 843,206.61 and 407,233.41 is: 562,273.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,702.77 : 843,206.61 = 407,233.41 : x
  2. Step 2: Convert to fraction form
    610,702.77/843,206.61 = 407,233.41/x
  3. Step 3: Cross multiply
    610,702.77x = 843,206.61 × 407,233.41
  4. Step 4: Simplify right side
    610,702.77x = 343,381,899,199.25
  5. Step 5: Solve for x
    x = 343,381,899,199.25/610,702.77
  6. Step 6: Final answer
    x = 562,273.36

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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.