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Finding the Fourth Proportional to 384,114.18, 530,077.47 and 212,032.08

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Solution

The fourth proportional to 384,114.18, 530,077.47 and 212,032.08 is: 292,604.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,114.18 : 530,077.47 = 212,032.08 : x
  2. Step 2: Convert to fraction form
    384,114.18/530,077.47 = 212,032.08/x
  3. Step 3: Cross multiply
    384,114.18x = 530,077.47 × 212,032.08
  4. Step 4: Simplify right side
    384,114.18x = 112,393,428,525.24
  5. Step 5: Solve for x
    x = 112,393,428,525.24/384,114.18
  6. Step 6: Final answer
    x = 292,604.22

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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.