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Finding the Fourth Proportional to 614,297.52, 848,065.14 and 424,333.08

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Solution

The fourth proportional to 614,297.52, 848,065.14 and 424,333.08 is: 585,810.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,297.52 : 848,065.14 = 424,333.08 : x
  2. Step 2: Convert to fraction form
    614,297.52/848,065.14 = 424,333.08/x
  3. Step 3: Cross multiply
    614,297.52x = 848,065.14 × 424,333.08
  4. Step 4: Simplify right side
    614,297.52x = 359,862,092,896.83
  5. Step 5: Solve for x
    x = 359,862,092,896.83/614,297.52
  6. Step 6: Final answer
    x = 585,810.75

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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.