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Finding the Fourth Proportional to 476,827.70, 715,242.15 and 121,842.06

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Solution

The fourth proportional to 476,827.70, 715,242.15 and 121,842.06 is: 182,763.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,827.70 : 715,242.15 = 121,842.06 : x
  2. Step 2: Convert to fraction form
    476,827.70/715,242.15 = 121,842.06/x
  3. Step 3: Cross multiply
    476,827.70x = 715,242.15 × 121,842.06
  4. Step 4: Simplify right side
    476,827.70x = 87,146,574,272.67
  5. Step 5: Solve for x
    x = 87,146,574,272.67/476,827.70
  6. Step 6: Final answer
    x = 182,763.24

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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.