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Finding the Fourth Proportional to 476,001.68, 713,781 and 176,470.16

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Solution

The fourth proportional to 476,001.68, 713,781 and 176,470.16 is: 264,623.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,001.68 : 713,781 = 176,470.16 : x
  2. Step 2: Convert to fraction form
    476,001.68/713,781 = 176,470.16/x
  3. Step 3: Cross multiply
    476,001.68x = 713,781 × 176,470.16
  4. Step 4: Simplify right side
    476,001.68x = 125,961,047,274.96
  5. Step 5: Solve for x
    x = 125,961,047,274.96/476,001.68
  6. Step 6: Final answer
    x = 264,623.11

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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.