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Finding the Fourth Proportional to 294,708, 406,697.04 and 160,572

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Solution

The fourth proportional to 294,708, 406,697.04 and 160,572 is: 221,589.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,708 : 406,697.04 = 160,572 : x
  2. Step 2: Convert to fraction form
    294,708/406,697.04 = 160,572/x
  3. Step 3: Cross multiply
    294,708x = 406,697.04 × 160,572
  4. Step 4: Simplify right side
    294,708x = 65,304,157,106.88
  5. Step 5: Solve for x
    x = 65,304,157,106.88/294,708
  6. Step 6: Final answer
    x = 221,589.36

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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.