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Finding the Fourth Proportional to 610,269.18, 841,931.19 and 380,692.86

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Solution

The fourth proportional to 610,269.18, 841,931.19 and 380,692.86 is: 525,206.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,269.18 : 841,931.19 = 380,692.86 : x
  2. Step 2: Convert to fraction form
    610,269.18/841,931.19 = 380,692.86/x
  3. Step 3: Cross multiply
    610,269.18x = 841,931.19 × 380,692.86
  4. Step 4: Simplify right side
    610,269.18x = 320,517,192,644.30
  5. Step 5: Solve for x
    x = 320,517,192,644.30/610,269.18
  6. Step 6: Final answer
    x = 525,206.26

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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.