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Finding the Fourth Proportional to 509,401.70, 764,102.55 and 243,681.20

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Solution

The fourth proportional to 509,401.70, 764,102.55 and 243,681.20 is: 365,521.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,401.70 : 764,102.55 = 243,681.20 : x
  2. Step 2: Convert to fraction form
    509,401.70/764,102.55 = 243,681.20/x
  3. Step 3: Cross multiply
    509,401.70x = 764,102.55 × 243,681.20
  4. Step 4: Simplify right side
    509,401.70x = 186,197,426,307.06
  5. Step 5: Solve for x
    x = 186,197,426,307.06/509,401.70
  6. Step 6: Final answer
    x = 365,521.80

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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.