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Finding the Fourth Proportional to 520,208.20, 780,312.30 and 402,110.20

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Solution

The fourth proportional to 520,208.20, 780,312.30 and 402,110.20 is: 603,165.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,208.20 : 780,312.30 = 402,110.20 : x
  2. Step 2: Convert to fraction form
    520,208.20/780,312.30 = 402,110.20/x
  3. Step 3: Cross multiply
    520,208.20x = 780,312.30 × 402,110.20
  4. Step 4: Simplify right side
    520,208.20x = 313,771,535,015.46
  5. Step 5: Solve for x
    x = 313,771,535,015.46/520,208.20
  6. Step 6: Final answer
    x = 603,165.30

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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.