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Finding the Fourth Proportional to 365,106.06, 546,326.91 and 215,418.06

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Solution

The fourth proportional to 365,106.06, 546,326.91 and 215,418.06 is: 322,341.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,106.06 : 546,326.91 = 215,418.06 : x
  2. Step 2: Convert to fraction form
    365,106.06/546,326.91 = 215,418.06/x
  3. Step 3: Cross multiply
    365,106.06x = 546,326.91 × 215,418.06
  4. Step 4: Simplify right side
    365,106.06x = 117,688,683,078.00
  5. Step 5: Solve for x
    x = 117,688,683,078.00/365,106.06
  6. Step 6: Final answer
    x = 322,341.08

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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.