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Finding the Fourth Proportional to 461,604, 637,035.53 and 260,400

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Solution

The fourth proportional to 461,604, 637,035.53 and 260,400 is: 359,364.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,604 : 637,035.53 = 260,400 : x
  2. Step 2: Convert to fraction form
    461,604/637,035.53 = 260,400/x
  3. Step 3: Cross multiply
    461,604x = 637,035.53 × 260,400
  4. Step 4: Simplify right side
    461,604x = 165,884,050,710
  5. Step 5: Solve for x
    x = 165,884,050,710/461,604
  6. Step 6: Final answer
    x = 359,364.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.