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Finding the Fourth Proportional to 461,805.60, 644,953.20 and 461,805.60

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Solution

The fourth proportional to 461,805.60, 644,953.20 and 461,805.60 is: 644,953.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,805.60 : 644,953.20 = 461,805.60 : x
  2. Step 2: Convert to fraction form
    461,805.60/644,953.20 = 461,805.60/x
  3. Step 3: Cross multiply
    461,805.60x = 644,953.20 × 461,805.60
  4. Step 4: Simplify right side
    461,805.60x = 297,842,999,497.92
  5. Step 5: Solve for x
    x = 297,842,999,497.92/461,805.60
  6. Step 6: Final answer
    x = 644,953.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.