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Finding the Fourth Proportional to 296,572.32, 409,269.98 and 160,607.32

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Solution

The fourth proportional to 296,572.32, 409,269.98 and 160,607.32 is: 221,638.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,572.32 : 409,269.98 = 160,607.32 : x
  2. Step 2: Convert to fraction form
    296,572.32/409,269.98 = 160,607.32/x
  3. Step 3: Cross multiply
    296,572.32x = 409,269.98 × 160,607.32
  4. Step 4: Simplify right side
    296,572.32x = 65,731,754,644.25
  5. Step 5: Solve for x
    x = 65,731,754,644.25/296,572.32
  6. Step 6: Final answer
    x = 221,638.20

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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.