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Finding the Fourth Proportional to 507,492.28, 761,000.02 and 294,320.80

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Solution

The fourth proportional to 507,492.28, 761,000.02 and 294,320.80 is: 441,342.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,492.28 : 761,000.02 = 294,320.80 : x
  2. Step 2: Convert to fraction form
    507,492.28/761,000.02 = 294,320.80/x
  3. Step 3: Cross multiply
    507,492.28x = 761,000.02 × 294,320.80
  4. Step 4: Simplify right side
    507,492.28x = 223,978,134,686.42
  5. Step 5: Solve for x
    x = 223,978,134,686.42/507,492.28
  6. Step 6: Final answer
    x = 441,342.94

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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.