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Finding the Fourth Proportional to 1,365,714.10, 1,908,456.80 and 1,365,714.10

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Solution

The fourth proportional to 1,365,714.10, 1,908,456.80 and 1,365,714.10 is: 1,908,456.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365,714.10 : 1,908,456.80 = 1,365,714.10 : x
  2. Step 2: Convert to fraction form
    1,365,714.10/1,908,456.80 = 1,365,714.10/x
  3. Step 3: Cross multiply
    1,365,714.10x = 1,908,456.80 × 1,365,714.10
  4. Step 4: Simplify right side
    1,365,714.10x = 2,606,406,361,000.88
  5. Step 5: Solve for x
    x = 2,606,406,361,000.88/1,365,714.10
  6. Step 6: Final answer
    x = 1,908,456.80

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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.