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Finding the Fourth Proportional to 882,714.40, 1,323,034.80 and 408,397.84

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Solution

The fourth proportional to 882,714.40, 1,323,034.80 and 408,397.84 is: 612,117.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,714.40 : 1,323,034.80 = 408,397.84 : x
  2. Step 2: Convert to fraction form
    882,714.40/1,323,034.80 = 408,397.84/x
  3. Step 3: Cross multiply
    882,714.40x = 1,323,034.80 × 408,397.84
  4. Step 4: Simplify right side
    882,714.40x = 540,324,554,564.83
  5. Step 5: Solve for x
    x = 540,324,554,564.83/882,714.40
  6. Step 6: Final answer
    x = 612,117.07

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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.