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Finding the Fourth Proportional to 270,941.80, 406,412.70 and 176,463.40

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Solution

The fourth proportional to 270,941.80, 406,412.70 and 176,463.40 is: 264,695.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,941.80 : 406,412.70 = 176,463.40 : x
  2. Step 2: Convert to fraction form
    270,941.80/406,412.70 = 176,463.40/x
  3. Step 3: Cross multiply
    270,941.80x = 406,412.70 × 176,463.40
  4. Step 4: Simplify right side
    270,941.80x = 71,716,966,845.18
  5. Step 5: Solve for x
    x = 71,716,966,845.18/270,941.80
  6. Step 6: Final answer
    x = 264,695.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.