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Finding the Fourth Proportional to 507,353.14, 698,554.02 and 430,713.46

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Solution

The fourth proportional to 507,353.14, 698,554.02 and 430,713.46 is: 593,031.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,353.14 : 698,554.02 = 430,713.46 : x
  2. Step 2: Convert to fraction form
    507,353.14/698,554.02 = 430,713.46/x
  3. Step 3: Cross multiply
    507,353.14x = 698,554.02 × 430,713.46
  4. Step 4: Simplify right side
    507,353.14x = 300,876,618,951.11
  5. Step 5: Solve for x
    x = 300,876,618,951.11/507,353.14
  6. Step 6: Final answer
    x = 593,031.94

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