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Finding the Fourth Proportional to 1,314,404.70, 1,971,607.06 and 865,632.30

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Solution

The fourth proportional to 1,314,404.70, 1,971,607.06 and 865,632.30 is: 1,298,448.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314,404.70 : 1,971,607.06 = 865,632.30 : x
  2. Step 2: Convert to fraction form
    1,314,404.70/1,971,607.06 = 865,632.30/x
  3. Step 3: Cross multiply
    1,314,404.70x = 1,971,607.06 × 865,632.30
  4. Step 4: Simplify right side
    1,314,404.70x = 1,706,686,754,044.04
  5. Step 5: Solve for x
    x = 1,706,686,754,044.04/1,314,404.70
  6. Step 6: Final answer
    x = 1,298,448.46

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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.