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Finding the Fourth Proportional to 520,070.30, 780,105.45 and 460,972.70

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Solution

The fourth proportional to 520,070.30, 780,105.45 and 460,972.70 is: 691,459.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,070.30 : 780,105.45 = 460,972.70 : x
  2. Step 2: Convert to fraction form
    520,070.30/780,105.45 = 460,972.70/x
  3. Step 3: Cross multiply
    520,070.30x = 780,105.45 × 460,972.70
  4. Step 4: Simplify right side
    520,070.30x = 359,607,315,571.22
  5. Step 5: Solve for x
    x = 359,607,315,571.22/520,070.30
  6. Step 6: Final answer
    x = 691,459.05

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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.