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Finding the Fourth Proportional to 652,406.40, 977,443.20 and 533,433.60

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Solution

The fourth proportional to 652,406.40, 977,443.20 and 533,433.60 is: 799,196.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,406.40 : 977,443.20 = 533,433.60 : x
  2. Step 2: Convert to fraction form
    652,406.40/977,443.20 = 533,433.60/x
  3. Step 3: Cross multiply
    652,406.40x = 977,443.20 × 533,433.60
  4. Step 4: Simplify right side
    652,406.40x = 521,401,044,971.52
  5. Step 5: Solve for x
    x = 521,401,044,971.52/652,406.40
  6. Step 6: Final answer
    x = 799,196.70

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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.