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Finding the Fourth Proportional to 657,113.40, 921,825 and 657,113.40

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Solution

The fourth proportional to 657,113.40, 921,825 and 657,113.40 is: 921,825

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,113.40 : 921,825 = 657,113.40 : x
  2. Step 2: Convert to fraction form
    657,113.40/921,825 = 657,113.40/x
  3. Step 3: Cross multiply
    657,113.40x = 921,825 × 657,113.40
  4. Step 4: Simplify right side
    657,113.40x = 605,743,559,955
  5. Step 5: Solve for x
    x = 605,743,559,955/657,113.40
  6. Step 6: Final answer
    x = 921,825

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.