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Finding the Fourth Proportional to 288,592.35, 432,984.51 and 181,852.98

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Solution

The fourth proportional to 288,592.35, 432,984.51 and 181,852.98 is: 272,839.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,592.35 : 432,984.51 = 181,852.98 : x
  2. Step 2: Convert to fraction form
    288,592.35/432,984.51 = 181,852.98/x
  3. Step 3: Cross multiply
    288,592.35x = 432,984.51 × 181,852.98
  4. Step 4: Simplify right side
    288,592.35x = 78,739,523,437.34
  5. Step 5: Solve for x
    x = 78,739,523,437.34/288,592.35
  6. Step 6: Final answer
    x = 272,839.95

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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.