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Finding the Fourth Proportional to 509,603.40, 764,405.10 and 478,110.60

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Solution

The fourth proportional to 509,603.40, 764,405.10 and 478,110.60 is: 717,165.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,603.40 : 764,405.10 = 478,110.60 : x
  2. Step 2: Convert to fraction form
    509,603.40/764,405.10 = 478,110.60/x
  3. Step 3: Cross multiply
    509,603.40x = 764,405.10 × 478,110.60
  4. Step 4: Simplify right side
    509,603.40x = 365,470,181,004.06
  5. Step 5: Solve for x
    x = 365,470,181,004.06/509,603.40
  6. Step 6: Final answer
    x = 717,165.90

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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.