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Finding the Fourth Proportional to 652,133.40, 977,033.70 and 402,523.80

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Solution

The fourth proportional to 652,133.40, 977,033.70 and 402,523.80 is: 603,065.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,133.40 : 977,033.70 = 402,523.80 : x
  2. Step 2: Convert to fraction form
    652,133.40/977,033.70 = 402,523.80/x
  3. Step 3: Cross multiply
    652,133.40x = 977,033.70 × 402,523.80
  4. Step 4: Simplify right side
    652,133.40x = 393,279,317,652.06
  5. Step 5: Solve for x
    x = 393,279,317,652.06/652,133.40
  6. Step 6: Final answer
    x = 603,065.75

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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.