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Finding the Fourth Proportional to 657,862.10, 922,251.10 and 657,862.10

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Solution

The fourth proportional to 657,862.10, 922,251.10 and 657,862.10 is: 922,251.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,862.10 : 922,251.10 = 657,862.10 : x
  2. Step 2: Convert to fraction form
    657,862.10/922,251.10 = 657,862.10/x
  3. Step 3: Cross multiply
    657,862.10x = 922,251.10 × 657,862.10
  4. Step 4: Simplify right side
    657,862.10x = 606,714,045,373.31
  5. Step 5: Solve for x
    x = 606,714,045,373.31/657,862.10
  6. Step 6: Final answer
    x = 922,251.10

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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.