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Finding the Fourth Proportional to 1,556,178, 2,147,525.64 and 840,786

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Solution

The fourth proportional to 1,556,178, 2,147,525.64 and 840,786 is: 1,160,284.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556,178 : 2,147,525.64 = 840,786 : x
  2. Step 2: Convert to fraction form
    1,556,178/2,147,525.64 = 840,786/x
  3. Step 3: Cross multiply
    1,556,178x = 2,147,525.64 × 840,786
  4. Step 4: Simplify right side
    1,556,178x = 1,805,609,492,753.04
  5. Step 5: Solve for x
    x = 1,805,609,492,753.04/1,556,178
  6. Step 6: Final answer
    x = 1,160,284.68

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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.