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Finding the Fourth Proportional to 629,263.60, 944,509.80 and 314,076.40

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Solution

The fourth proportional to 629,263.60, 944,509.80 and 314,076.40 is: 471,421.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,263.60 : 944,509.80 = 314,076.40 : x
  2. Step 2: Convert to fraction form
    629,263.60/944,509.80 = 314,076.40/x
  3. Step 3: Cross multiply
    629,263.60x = 944,509.80 × 314,076.40
  4. Step 4: Simplify right side
    629,263.60x = 296,648,237,748.72
  5. Step 5: Solve for x
    x = 296,648,237,748.72/629,263.60
  6. Step 6: Final answer
    x = 471,421.26

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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.