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Finding the Fourth Proportional to 433,897.60, 651,429.60 and 276,822.40

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Solution

The fourth proportional to 433,897.60, 651,429.60 and 276,822.40 is: 415,605.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,897.60 : 651,429.60 = 276,822.40 : x
  2. Step 2: Convert to fraction form
    433,897.60/651,429.60 = 276,822.40/x
  3. Step 3: Cross multiply
    433,897.60x = 651,429.60 × 276,822.40
  4. Step 4: Simplify right side
    433,897.60x = 180,330,305,303.04
  5. Step 5: Solve for x
    x = 180,330,305,303.04/433,897.60
  6. Step 6: Final answer
    x = 415,605.68

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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.