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Finding the Fourth Proportional to 366,873.84, 506,071.38 and 230,692.20

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Solution

The fourth proportional to 366,873.84, 506,071.38 and 230,692.20 is: 318,220.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,873.84 : 506,071.38 = 230,692.20 : x
  2. Step 2: Convert to fraction form
    366,873.84/506,071.38 = 230,692.20/x
  3. Step 3: Cross multiply
    366,873.84x = 506,071.38 × 230,692.20
  4. Step 4: Simplify right side
    366,873.84x = 116,746,720,009.24
  5. Step 5: Solve for x
    x = 116,746,720,009.24/366,873.84
  6. Step 6: Final answer
    x = 318,220.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.