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Finding the Fourth Proportional to 315,287.10, 473,006.25 and 90,642.96

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Solution

The fourth proportional to 315,287.10, 473,006.25 and 90,642.96 is: 135,986.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,287.10 : 473,006.25 = 90,642.96 : x
  2. Step 2: Convert to fraction form
    315,287.10/473,006.25 = 90,642.96/x
  3. Step 3: Cross multiply
    315,287.10x = 473,006.25 × 90,642.96
  4. Step 4: Simplify right side
    315,287.10x = 42,874,686,598.50
  5. Step 5: Solve for x
    x = 42,874,686,598.50/315,287.10
  6. Step 6: Final answer
    x = 135,986.17

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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.