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Finding the Fourth Proportional to 857,807, 1,286,710.54 and 587,668.76

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Solution

The fourth proportional to 857,807, 1,286,710.54 and 587,668.76 is: 881,503.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,807 : 1,286,710.54 = 587,668.76 : x
  2. Step 2: Convert to fraction form
    857,807/1,286,710.54 = 587,668.76/x
  3. Step 3: Cross multiply
    857,807x = 1,286,710.54 × 587,668.76
  4. Step 4: Simplify right side
    857,807x = 756,159,587,520.73
  5. Step 5: Solve for x
    x = 756,159,587,520.73/857,807
  6. Step 6: Final answer
    x = 881,503.17

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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.