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Finding the Fourth Proportional to 294,631.90, 406,592.04 and 160,495.90

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Solution

The fourth proportional to 294,631.90, 406,592.04 and 160,495.90 is: 221,484.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,631.90 : 406,592.04 = 160,495.90 : x
  2. Step 2: Convert to fraction form
    294,631.90/406,592.04 = 160,495.90/x
  3. Step 3: Cross multiply
    294,631.90x = 406,592.04 × 160,495.90
  4. Step 4: Simplify right side
    294,631.90x = 65,256,355,392.64
  5. Step 5: Solve for x
    x = 65,256,355,392.64/294,631.90
  6. Step 6: Final answer
    x = 221,484.35

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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.