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Finding the Fourth Proportional to 713,557, 1,070,279.65 and 201,201.45

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Solution

The fourth proportional to 713,557, 1,070,279.65 and 201,201.45 is: 301,786.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,557 : 1,070,279.65 = 201,201.45 : x
  2. Step 2: Convert to fraction form
    713,557/1,070,279.65 = 201,201.45/x
  3. Step 3: Cross multiply
    713,557x = 1,070,279.65 × 201,201.45
  4. Step 4: Simplify right side
    713,557x = 215,341,812,134.09
  5. Step 5: Solve for x
    x = 215,341,812,134.09/713,557
  6. Step 6: Final answer
    x = 301,786.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.