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Finding the Fourth Proportional to 571,802, 788,570.16 and 356,961.92

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Solution

The fourth proportional to 571,802, 788,570.16 and 356,961.92 is: 492,284.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,802 : 788,570.16 = 356,961.92 : x
  2. Step 2: Convert to fraction form
    571,802/788,570.16 = 356,961.92/x
  3. Step 3: Cross multiply
    571,802x = 788,570.16 × 356,961.92
  4. Step 4: Simplify right side
    571,802x = 281,489,518,368.31
  5. Step 5: Solve for x
    x = 281,489,518,368.31/571,802
  6. Step 6: Final answer
    x = 492,284.95

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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.