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Finding the Fourth Proportional to 309,076.40, 463,681.80 and 176,020.40

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Solution

The fourth proportional to 309,076.40, 463,681.80 and 176,020.40 is: 264,068.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,076.40 : 463,681.80 = 176,020.40 : x
  2. Step 2: Convert to fraction form
    309,076.40/463,681.80 = 176,020.40/x
  3. Step 3: Cross multiply
    309,076.40x = 463,681.80 × 176,020.40
  4. Step 4: Simplify right side
    309,076.40x = 81,617,455,908.72
  5. Step 5: Solve for x
    x = 81,617,455,908.72/309,076.40
  6. Step 6: Final answer
    x = 264,068.87

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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.