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Finding the Fourth Proportional to 356,672.82, 535,038.42 and 146,312.58

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Solution

The fourth proportional to 356,672.82, 535,038.42 and 146,312.58 is: 219,480.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,672.82 : 535,038.42 = 146,312.58 : x
  2. Step 2: Convert to fraction form
    356,672.82/535,038.42 = 146,312.58/x
  3. Step 3: Cross multiply
    356,672.82x = 535,038.42 × 146,312.58
  4. Step 4: Simplify right side
    356,672.82x = 78,282,851,629.32
  5. Step 5: Solve for x
    x = 78,282,851,629.32/356,672.82
  6. Step 6: Final answer
    x = 219,480.84

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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.