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Finding the Fourth Proportional to 706,718.25, 975,106.35 and 412,322.13

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Solution

The fourth proportional to 706,718.25, 975,106.35 and 412,322.13 is: 568,908.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,718.25 : 975,106.35 = 412,322.13 : x
  2. Step 2: Convert to fraction form
    706,718.25/975,106.35 = 412,322.13/x
  3. Step 3: Cross multiply
    706,718.25x = 975,106.35 × 412,322.13
  4. Step 4: Simplify right side
    706,718.25x = 402,057,927,208.53
  5. Step 5: Solve for x
    x = 402,057,927,208.53/706,718.25
  6. Step 6: Final answer
    x = 568,908.37

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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.