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Finding the Fourth Proportional to 294,655.50, 406,624.59 and 160,519.50

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Solution

The fourth proportional to 294,655.50, 406,624.59 and 160,519.50 is: 221,516.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,655.50 : 406,624.59 = 160,519.50 : x
  2. Step 2: Convert to fraction form
    294,655.50/406,624.59 = 160,519.50/x
  3. Step 3: Cross multiply
    294,655.50x = 406,624.59 × 160,519.50
  4. Step 4: Simplify right side
    294,655.50x = 65,271,175,874.51
  5. Step 5: Solve for x
    x = 65,271,175,874.51/294,655.50
  6. Step 6: Final answer
    x = 221,516.91

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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.