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Finding the Fourth Proportional to 407,897.60, 611,846.40 and 308,364.80

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Solution

The fourth proportional to 407,897.60, 611,846.40 and 308,364.80 is: 462,547.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,897.60 : 611,846.40 = 308,364.80 : x
  2. Step 2: Convert to fraction form
    407,897.60/611,846.40 = 308,364.80/x
  3. Step 3: Cross multiply
    407,897.60x = 611,846.40 × 308,364.80
  4. Step 4: Simplify right side
    407,897.60x = 188,671,892,766.72
  5. Step 5: Solve for x
    x = 188,671,892,766.72/407,897.60
  6. Step 6: Final answer
    x = 462,547.20

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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.