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Finding the Fourth Proportional to 430,004.40, 644,812.20 and 193,225.20

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Solution

The fourth proportional to 430,004.40, 644,812.20 and 193,225.20 is: 289,750.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,004.40 : 644,812.20 = 193,225.20 : x
  2. Step 2: Convert to fraction form
    430,004.40/644,812.20 = 193,225.20/x
  3. Step 3: Cross multiply
    430,004.40x = 644,812.20 × 193,225.20
  4. Step 4: Simplify right side
    430,004.40x = 124,593,966,307.44
  5. Step 5: Solve for x
    x = 124,593,966,307.44/430,004.40
  6. Step 6: Final answer
    x = 289,750.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.