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Finding the Fourth Proportional to 296,646.18, 409,372.83 and 160,681.74

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Solution

The fourth proportional to 296,646.18, 409,372.83 and 160,681.74 is: 221,741.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,646.18 : 409,372.83 = 160,681.74 : x
  2. Step 2: Convert to fraction form
    296,646.18/409,372.83 = 160,681.74/x
  3. Step 3: Cross multiply
    296,646.18x = 409,372.83 × 160,681.74
  4. Step 4: Simplify right side
    296,646.18x = 65,778,738,633.12
  5. Step 5: Solve for x
    x = 65,778,738,633.12/296,646.18
  6. Step 6: Final answer
    x = 221,741.40

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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.