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Finding the Fourth Proportional to 843,812.83, 1,164,417.01 and 461,765.80

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Solution

The fourth proportional to 843,812.83, 1,164,417.01 and 461,765.80 is: 637,212.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,812.83 : 1,164,417.01 = 461,765.80 : x
  2. Step 2: Convert to fraction form
    843,812.83/1,164,417.01 = 461,765.80/x
  3. Step 3: Cross multiply
    843,812.83x = 1,164,417.01 × 461,765.80
  4. Step 4: Simplify right side
    843,812.83x = 537,687,952,156.26
  5. Step 5: Solve for x
    x = 537,687,952,156.26/843,812.83
  6. Step 6: Final answer
    x = 637,212.35

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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.